Amperes Law
Q. What is the magnetic field inside a long, ideal solenoid carrying current I?
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A.
Zero
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B.
μ₀I
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C.
μ₀I/n
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D.
μ₀nI
Solution
The magnetic field inside a long, ideal solenoid is given by B = μ₀nI, where n is the number of turns per unit length.
Correct Answer: D — μ₀nI
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Q. What is the magnetic field inside a long, ideal solenoid with n turns per unit length carrying a current I?
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A.
B = μ₀nI
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B.
B = μ₀I/n
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C.
B = nI/μ₀
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D.
B = μ₀I
Solution
The magnetic field inside an ideal solenoid is given by B = μ₀nI, where n is the number of turns per unit length.
Correct Answer: A — B = μ₀nI
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Q. What is the relationship between the magnetic field and the distance from a long straight wire carrying current?
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A.
Directly proportional
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B.
Inversely proportional
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C.
Independent
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D.
Exponential
Solution
The magnetic field around a long straight wire is inversely proportional to the distance from the wire, as given by B = μ₀I/2πr.
Correct Answer: B — Inversely proportional
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Q. What is the relationship between the magnetic field and the enclosed current according to Ampere's Law?
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A.
B is proportional to the square of the current
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B.
B is inversely proportional to the current
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C.
B is directly proportional to the current
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D.
B is independent of the current
Solution
According to Ampere's Law, the magnetic field B is directly proportional to the enclosed current.
Correct Answer: C — B is directly proportional to the current
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Q. What is the shape of the magnetic field lines around a long straight conductor carrying current?
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A.
Straight lines
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B.
Concentric circles
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C.
Ellipses
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D.
Spirals
Solution
The magnetic field lines around a long straight conductor are concentric circles centered on the wire.
Correct Answer: B — Concentric circles
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Q. What is the unit of magnetic field strength (B)?
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A.
Tesla
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B.
Weber
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C.
Henry
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D.
Ampere
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 per Ampere's Law?
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A.
Coulomb
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B.
Tesla
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C.
Henry
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D.
Ohm
Solution
The unit of magnetic field strength is Tesla (T), which is derived from Ampere's Law.
Correct Answer: B — Tesla
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Q. What is the unit of magnetic field strength in the context of Ampere's Law?
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A.
Coulomb
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B.
Tesla
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C.
Henry
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D.
Ohm
Solution
The unit of magnetic field strength is Tesla (T).
Correct Answer: B — Tesla
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Q. What is the unit of magnetic field strength in the SI system?
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A.
Tesla
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B.
Newton
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C.
Coulomb
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D.
Volt
Solution
The unit of magnetic field strength is the Tesla (T).
Correct Answer: A — Tesla
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Q. Which of the following configurations can be analyzed using Ampere's Law?
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A.
A point charge
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B.
A charged capacitor
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C.
A long straight wire
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D.
A dipole
Solution
Ampere's Law is applicable to configurations with symmetry, such as a long straight wire carrying current.
Correct Answer: C — A long straight wire
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Q. Which of the following configurations will produce the strongest magnetic field at the center?
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A.
A single straight wire
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B.
A circular loop of wire
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C.
A solenoid
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D.
A toroid
Solution
A toroid produces the strongest magnetic field at its center due to the closed loop configuration of the wire.
Correct Answer: D — A toroid
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Q. Which of the following is a correct application of Ampere's Law?
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A.
Calculating electric field in a capacitor
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B.
Finding the magnetic field in a toroid
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C.
Determining the potential difference across a resistor
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D.
Calculating the energy stored in an inductor
Solution
Ampere's Law is used to find the magnetic field in a toroid, where the symmetry allows for straightforward application of the law.
Correct Answer: B — Finding the magnetic field in a toroid
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Q. Which of the following statements is true regarding Ampere's Law?
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A.
It applies only to static currents
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B.
It can be used for time-varying fields
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C.
It is valid in all geometries
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D.
It is independent of the medium
Solution
Ampere's Law is primarily applicable to static currents and requires modifications for time-varying fields.
Correct Answer: A — It applies only to static currents
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