Biot Savart Law
Q. What is the direction of the magnetic field produced by a current-carrying wire according to the right-hand rule?
A.
Towards the wire
B.
Away from the wire
C.
Perpendicular to the wire in the direction of current
D.
Perpendicular to the wire in the opposite direction of current
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Solution
According to the right-hand rule, if you point your thumb in the direction of the current, your fingers curl in the direction of the magnetic field.
Correct Answer: C — Perpendicular to the wire in the direction of 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
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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
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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
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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
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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
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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
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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 current I?
A.
μ₀I/(2R)
B.
μ₀I/(4R)
C.
μ₀I/(2πR)
D.
μ₀I/(4πR)
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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 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)
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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 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)
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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)
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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)
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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)
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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)
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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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