Amperes Law

Q. According to Ampere's Law, the line integral of the magnetic field B around a closed path is equal to what?
  • A. Zero
  • B. The product of permeability and current
  • C. The product of permittivity and charge
  • D. The electric field times the area
Q. According to Ampere's Law, what is the line integral of the magnetic field around a closed loop equal to?
  • A. 0
  • B. μ₀ times the total current through the loop
  • C. μ₀ times the total charge
  • D. None of the above
Q. According to Ampere's Law, what is the magnetic field inside a long straight conductor carrying current I?
  • A. Zero
  • B. μ₀I/2πr
  • C. μ₀I/4πr
  • D. μ₀I/πr
Q. For a cylindrical conductor of radius R carrying current I, what is the magnetic field at a point outside the conductor?
  • A. 0
  • B. μ₀I/2πR
  • C. μ₀I/4πR
  • D. μ₀I/πR
Q. For a cylindrical conductor of radius R carrying current I, what is the magnetic field at a point outside the cylinder?
  • A. 0
  • B. μ₀I/2πr
  • C. μ₀I/4πr
  • D. μ₀I/πr
Q. For a solenoid of length L and n turns per unit length carrying current I, what is the magnetic field inside the solenoid?
  • A. μ₀nI
  • B. μ₀I/n
  • C. μ₀I/L
  • D. μ₀nI/L
Q. For a solenoid of length L, radius R, and carrying current I, what is the magnetic field inside the solenoid?
  • A. μ₀nI
  • B. μ₀I/L
  • C. μ₀I/2L
  • D. μ₀I/4L
Q. For a toroidal solenoid with N turns and radius R carrying current I, what is the magnetic field inside the toroid?
  • A. μ₀NI/2πR
  • B. μ₀NI/R
  • C. μ₀NI/4πR
  • D. μ₀NI/2R
Q. If a circular loop of radius R carries a current I, what is the magnetic field at the center of the loop according to Ampere's Law?
  • A. μ₀I/2R
  • B. μ₀I/4R
  • C. μ₀I/R
  • D. μ₀I/πR
Q. If a circular loop of radius R carries a current I, what is the magnetic field at the center of the loop?
  • A. μ₀I/2R
  • B. μ₀I/4R
  • C. μ₀I/R
  • D. μ₀I/8R
Q. If a long straight conductor carries a current I, what is the magnetic field at a distance r from the wire?
  • A. μ₀I/(2πr)
  • B. μ₀I/(4πr²)
  • C. μ₀I/(2r)
  • D. μ₀I/(πr²)
Q. If a long straight conductor carries a current I, what is the magnetic field B at a distance r from the wire?
  • A. B = μ₀I/(2πr)
  • B. B = μ₀I/(4πr²)
  • C. B = μ₀I/(2r)
  • D. B = μ₀I/(πr²)
Q. If a long straight wire carries a current I, what is the magnetic field at a distance r from the wire according to Ampere's Law?
  • A. μ₀I/(2πr)
  • B. μ₀I/(4πr²)
  • C. I/(2πr)
  • D. μ₀I/(r)
Q. If a wire carries a current of 5 A and is placed in a magnetic field of 0.1 T, what is the force per unit length on the wire?
  • A. 0.5 N/m
  • B. 1 N/m
  • C. 0.2 N/m
  • D. 0.1 N/m
Q. If a wire carries a current of 5 A, what is the magnetic field at a distance of 0.1 m from the wire?
  • A. 0.1 T
  • B. 0.2 T
  • C. 0.5 T
  • D. 1.0 T
Q. If the current in a circular loop is doubled, how does the magnetic field at the center change?
  • A. Remains the same
  • B. Doubles
  • C. Halves
  • D. Quadruples
Q. If the current in a circular loop is doubled, how does the magnetic field at the center of the loop change?
  • A. It remains the same
  • B. It doubles
  • C. It quadruples
  • D. It halves
Q. If the current in a wire is doubled, how does the magnetic field at a point 1 meter away change?
  • A. It doubles
  • B. It quadruples
  • C. It remains the same
  • D. It halves
Q. If the current in a wire is doubled, how does the magnetic field at a point near the wire change according to Ampere's Law?
  • A. It remains the same
  • B. It doubles
  • C. It quadruples
  • D. It halves
Q. If the current in a wire is reversed, what happens to the direction of the magnetic field around the wire?
  • A. It remains the same
  • B. It reverses direction
  • C. It becomes zero
  • D. It doubles in strength
Q. If the magnetic field around a closed loop is constant, what can be said about the current through the loop?
  • A. It is zero
  • B. It is variable
  • C. It is constant
  • D. It is infinite
Q. If the radius of a circular loop carrying current is doubled, what happens to the magnetic field at the center of the loop?
  • A. It doubles
  • B. It halves
  • C. It remains the same
  • D. It quadruples
Q. If the radius of a circular loop carrying current is halved, how does the magnetic field at the center change?
  • A. Remains the same
  • B. Doubles
  • C. Halves
  • D. Quadruples
Q. If two parallel wires carry currents in the same direction, what is the interaction between the magnetic fields they produce?
  • A. They repel each other
  • B. They attract each other
  • C. No interaction
  • D. They cancel each other out
Q. In a circular path of radius r around a long straight wire carrying current I, what is the line integral of the magnetic field?
  • A. 0
  • B. μ₀I
  • C. μ₀I/2
  • D. μ₀I/4
Q. In a closed loop, if the net current is zero, what can be said about the magnetic field according to Ampere's Law?
  • A. The magnetic field is zero everywhere
  • B. The magnetic field is uniform
  • C. The magnetic field can be non-zero
  • D. The magnetic field is only zero at the center
Q. In a solenoid carrying current, what is the direction of the magnetic field inside the solenoid?
  • A. Perpendicular to the axis of the solenoid
  • B. Along the axis of the solenoid
  • C. Radially outward from the solenoid
  • D. Zero inside the solenoid
Q. In a solenoid carrying current, what is the direction of the magnetic field inside the solenoid according to Ampere's Law?
  • A. From south to north
  • B. From north to south
  • C. Perpendicular to the axis
  • D. Radially outward
Q. In a solenoid, what is the expression for the magnetic field inside it when it carries a current I?
  • A. B = μ₀nI
  • B. B = μ₀I/2πr
  • C. B = μ₀I/4πr²
  • D. B = μ₀I/n
Q. In a toroidal solenoid with N turns and carrying current I, what is the magnetic field inside the toroid?
  • A. μ₀NI/2πr
  • B. μ₀NI/r
  • C. μ₀NI/4πr
  • D. μ₀NI/2r
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