Q. What is the direction of the magnetic field produced by a current-carrying wire according to the Biot-Savart Law?
A.
Along the wire
B.
Perpendicular to the wire and the current
C.
In the direction of the current
D.
Opposite to the direction of the current
Show solution
Solution
The direction of the magnetic field produced by a current-carrying wire is perpendicular to both the wire and the direction of the current.
Correct Answer:
B
— Perpendicular to the wire and the current
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Q. What is the effect of doubling the distance from a long straight wire on the magnetic field strength?
A.
It doubles the magnetic field strength
B.
It halves the magnetic field strength
C.
It quadruples the magnetic field strength
D.
It has no effect on the magnetic field strength
Show solution
Solution
According to the Biot-Savart Law, the magnetic field strength is inversely proportional to the distance, so doubling the distance halves the magnetic field strength.
Correct Answer:
B
— It halves the magnetic field strength
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Q. What is the effect of increasing the current in a wire on the magnetic field around it?
A.
Increases the magnetic field
B.
Decreases the magnetic field
C.
No effect on the magnetic field
D.
Reverses the direction of the magnetic field
Show solution
Solution
Increasing the current in a wire increases the magnetic field around it, as per the Biot-Savart Law.
Correct Answer:
A
— Increases the magnetic field
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Q. What is the effect of increasing the distance from a current-carrying wire on the magnetic field strength?
A.
It increases
B.
It decreases
C.
It remains constant
D.
It becomes zero
Show solution
Solution
According to the Biot-Savart Law, the magnetic field strength decreases with increasing distance from the current-carrying wire.
Correct Answer:
B
— It decreases
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Q. What is the effect of increasing the distance from a long straight conductor on the magnetic field strength?
A.
Increases
B.
Decreases
C.
Remains constant
D.
Becomes zero
Show solution
Solution
According to Biot-Savart Law, the magnetic field strength decreases with increasing distance from the conductor.
Correct Answer:
B
— Decreases
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Q. What is the effect of increasing the distance from a long straight current-carrying wire on the magnetic field strength?
A.
It increases
B.
It decreases
C.
It remains constant
D.
It becomes zero
Show solution
Solution
According to the Biot-Savart Law, the magnetic field strength decreases with increasing distance from the wire.
Correct Answer:
B
— It decreases
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Q. What is the effect of increasing the distance from a long straight wire on the magnetic field strength?
A.
It increases
B.
It decreases
C.
It remains constant
D.
It becomes zero
Show solution
Solution
The magnetic field strength decreases with increasing distance from a long straight wire, following the inverse relationship with distance.
Correct Answer:
B
— It decreases
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Q. What is the expression for the magnetic field at the center of a circular loop of radius R carrying a current I?
A.
B = μ₀I/(2R)
B.
B = μ₀I/(4R)
C.
B = μ₀I/(πR)
D.
B = μ₀I/(2πR)
Show solution
Solution
The magnetic field at the center of a circular loop of radius R carrying a current I is given by B = μ₀I/(2πR).
Correct Answer:
D
— B = μ₀I/(2πR)
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Q. What is the expression for the magnetic field at the center of a circular loop of radius R carrying current I?
A.
μ₀I/(2R)
B.
μ₀I/(4R)
C.
μ₀I/(2πR)
D.
μ₀I/(4πR)
Show solution
Solution
The magnetic field at the center of a circular loop is given by B = μ₀I/(2R).
Correct Answer:
C
— μ₀I/(2πR)
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Q. What is the expression for the magnetic field B at a distance r from a long straight conductor carrying current I?
A.
B = (μ₀I)/(2πr)
B.
B = (μ₀I)/(4πr²)
C.
B = (I)/(2πr)
D.
B = (μ₀I²)/(2πr)
Show solution
Solution
The magnetic field B at a distance r from a long straight conductor carrying current I is given by B = (μ₀I)/(2πr).
Correct Answer:
A
— B = (μ₀I)/(2πr)
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Q. What is the expression for the magnetic field B at a distance r from a long straight wire carrying current I according to the Biot-Savart Law?
A.
B = (μ₀I)/(2πr)
B.
B = (μ₀I)/(4πr²)
C.
B = (I)/(2πr)
D.
B = (μ₀I²)/(2πr)
Show solution
Solution
The magnetic field B at a distance r from a long straight wire carrying current I is given by B = (μ₀I)/(2πr).
Correct Answer:
A
— B = (μ₀I)/(2πr)
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Q. What is the magnetic field at a point due to a long straight current-carrying conductor using Biot-Savart Law?
A.
μ₀I/(2πr)
B.
μ₀I/(4πr²)
C.
μ₀I/(2r)
D.
μ₀I/(4r)
Show solution
Solution
The magnetic field B at a distance r from a long straight conductor carrying current I is given by B = μ₀I/(2πr) according to Biot-Savart Law.
Correct Answer:
A
— μ₀I/(2πr)
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Q. What is the magnetic field due to a circular loop of radius R carrying current I at a point on its axis at a distance x from the center?
A.
μ₀I/(2R)
B.
μ₀I/(2(x² + R²)^(3/2))
C.
μ₀I/(4πR)
D.
μ₀I/(x² + R²)
Show solution
Solution
The magnetic field at a point on the axis of a circular loop at a distance x from the center is given by B = μ₀I/(2(x² + R²)^(3/2)).
Correct Answer:
B
— μ₀I/(2(x² + R²)^(3/2))
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Q. What is the magnetic field due to a current I flowing through a straight wire at a distance d?
A.
μ₀I/(2πd)
B.
μ₀I/(4πd²)
C.
μ₀I/(d)
D.
μ₀I/(2d)
Show solution
Solution
The magnetic field B at a distance d from a straight wire carrying current I is given by B = μ₀I/(2πd).
Correct Answer:
A
— μ₀I/(2πd)
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Q. What is the magnetic field due to a straight conductor at a point 1 meter away carrying a current of 5 A?
A.
0.01 T
B.
0.02 T
C.
0.03 T
D.
0.04 T
Show solution
Solution
Using Biot-Savart Law, B = μ₀I/(2πr) = (4π × 10^-7 Tm/A)(5 A)/(2π(1 m)) = 0.01 T.
Correct Answer:
B
— 0.02 T
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Q. What is the magnetic field due to a straight wire at a distance of 0.5 m carrying a current of 10 A?
A.
0.4 μT
B.
0.2 μT
C.
0.1 μT
D.
0.8 μT
Show solution
Solution
Using B = μ₀I/(2πr), substituting μ₀ = 4π × 10⁻⁷ Tm/A, I = 10 A, and r = 0.5 m gives B = 0.4 μT.
Correct Answer:
A
— 0.4 μT
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Q. What is the unit of magnetic field strength as defined by the Biot-Savart Law?
A.
Tesla
B.
Newton
C.
Coulomb
D.
Ampere
Show solution
Solution
The unit of magnetic field strength is Tesla (T).
Correct Answer:
A
— Tesla
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Q. What is the unit of magnetic field strength as derived from Biot-Savart Law?
A.
Tesla
B.
Ampere
C.
Weber
D.
Henry
Show solution
Solution
The unit of magnetic field strength is Tesla (T), which is derived from the Biot-Savart Law.
Correct Answer:
A
— Tesla
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Q. What is the unit of magnetic field strength as derived from the Biot-Savart Law?
A.
Tesla
B.
Newton per Coulomb
C.
Volt per meter
D.
Ampere
Show solution
Solution
The unit of magnetic field strength is Tesla (T), which is derived from the Biot-Savart Law.
Correct Answer:
A
— Tesla
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Q. What is the unit of magnetic field strength as per Biot-Savart Law?
A.
Tesla
B.
Ampere
C.
Newton
D.
Coulomb
Show solution
Solution
The unit of magnetic field strength is Tesla (T).
Correct Answer:
A
— Tesla
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Q. What is the unit of the magnetic field as defined by the Biot-Savart Law?
A.
Tesla
B.
Newton
C.
Coulomb
D.
Volt
Show solution
Solution
The unit of the magnetic field as defined by the Biot-Savart Law is Tesla.
Correct Answer:
A
— Tesla
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Q. What is the unit of the magnetic field as per the Biot-Savart Law?
A.
Tesla
B.
Newton
C.
Coulomb
D.
Ampere
Show solution
Solution
The unit of the magnetic field is Tesla (T), which is derived from the Biot-Savart Law.
Correct Answer:
A
— Tesla
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Q. Which of the following configurations will produce a magnetic field that is uniform in space?
A.
A long straight wire
B.
A circular loop of wire
C.
Two parallel wires carrying current in the same direction
D.
A solenoid
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Solution
A solenoid produces a uniform magnetic field in its interior, as described by the Biot-Savart Law.
Correct Answer:
D
— A solenoid
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Q. Which of the following configurations will produce a uniform magnetic field using the Biot-Savart Law?
A.
A straight wire
B.
A circular loop
C.
A solenoid
D.
A single current element
Show solution
Solution
A solenoid produces a uniform magnetic field inside it, as described by the Biot-Savart Law.
Correct Answer:
C
— A solenoid
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Q. Which of the following factors does NOT affect the magnetic field produced by a current-carrying wire?
A.
The amount of current
B.
The distance from the wire
C.
The material of the wire
D.
The angle between the wire and the point of interest
Show solution
Solution
The material of the wire does not affect the magnetic field produced by a current-carrying wire according to the Biot-Savart Law.
Correct Answer:
C
— The material of the wire
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Q. Which of the following factors does NOT affect the magnetic field produced by a current element according to the Biot-Savart Law?
A.
Magnitude of the current
B.
Length of the current element
C.
Distance from the current element
D.
Temperature of the conductor
Show solution
Solution
The temperature of the conductor does not affect the magnetic field produced by a current element according to the Biot-Savart Law.
Correct Answer:
D
— Temperature of the conductor
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Q. Which of the following factors does NOT affect the magnetic field produced by a straight current-carrying conductor?
A.
Current strength
B.
Distance from the conductor
C.
Length of the conductor
D.
Angle of observation
Show solution
Solution
The length of the conductor does not affect the magnetic field produced by a straight current-carrying conductor at a given point.
Correct Answer:
C
— Length of the conductor
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Q. Which of the following factors does NOT affect the magnetic field produced by a current-carrying wire according to the Biot-Savart Law?
A.
Distance from the wire
B.
Magnitude of the current
C.
Shape of the wire
D.
Angle between the current element and the point
Show solution
Solution
The shape of the wire does not directly affect the magnetic field produced by a current-carrying wire according to the Biot-Savart Law.
Correct Answer:
C
— Shape of the wire
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Q. Which of the following statements is true regarding the Biot-Savart Law?
A.
It applies only to straight conductors
B.
It can be used for any current distribution
C.
It is only valid for AC currents
D.
It does not consider the distance from the wire
Show solution
Solution
The Biot-Savart Law can be used for any current distribution, not just straight conductors.
Correct Answer:
B
— It can be used for any current distribution
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Showing 31 to 59 of 59 (2 Pages)
Biot Savart Law MCQ & Objective Questions
The Biot Savart Law is a fundamental principle in electromagnetism that describes the magnetic field generated by electric currents. Understanding this law is crucial for students preparing for various school and competitive exams, as it frequently appears in objective questions. Practicing MCQs related to the Biot Savart Law not only reinforces conceptual clarity but also enhances exam performance by familiarizing students with important questions and practice scenarios.
What You Will Practise Here
Definition and significance of the Biot Savart Law
Key formulas related to magnetic fields and current-carrying conductors
Applications of the Biot Savart Law in real-world scenarios
Diagrams illustrating the magnetic field due to straight and circular currents
Conceptual understanding of vector quantities in the context of magnetic fields
Common problems and solutions involving the Biot Savart Law
Comparison with Ampere's Law and its applications
Exam Relevance
The Biot Savart Law is a significant topic in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect questions that require them to apply the law to calculate magnetic fields, interpret diagrams, or solve numerical problems. Common question patterns include direct application of formulas, conceptual questions about the direction of magnetic fields, and comparative questions with other laws of electromagnetism.
Common Mistakes Students Make
Confusing the direction of the magnetic field with the direction of current flow.
Incorrectly applying the Biot Savart Law to complex geometries without breaking them down into simpler components.
Neglecting the vector nature of magnetic fields when adding contributions from multiple current elements.
Overlooking the significance of the distance from the current element when calculating the magnetic field strength.
FAQs
Question: What is the Biot Savart Law?Answer: The Biot Savart Law states that the magnetic field produced at a point in space by a small segment of current-carrying wire is directly proportional to the current and inversely proportional to the square of the distance from the wire segment.
Question: How is the Biot Savart Law different from Ampere's Law?Answer: While the Biot Savart Law provides a way to calculate the magnetic field due to a current element, Ampere's Law relates the magnetic field in a closed loop to the total current passing through that loop, making it useful for symmetrical situations.
Now is the time to enhance your understanding of the Biot Savart Law! Dive into our practice MCQs and test your knowledge to ensure you are well-prepared for your exams. Remember, consistent practice is key to mastering this important topic!
