Biot Savart Law

Q. According to the Biot-Savart Law, the magnetic field dB at a point due to a current element Idl is proportional to which of the following?
  • A. Idl
  • B. sin(θ)
  • C. 1/r^2
  • D. Both Idl and sin(θ)
Q. For a circular loop of radius R carrying a current I, what is the magnetic field at the center of the loop?
  • A. B = μ₀I/(2R)
  • B. B = μ₀I/(4R)
  • C. B = μ₀I/(πR)
  • D. B = μ₀I/(2πR)
Q. If a current-carrying wire is bent into a circular loop, what is the direction of the magnetic field at the center of the loop according to the Biot-Savart Law?
  • A. Out of the plane of the loop
  • B. Into the plane of the loop
  • C. Clockwise
  • D. Counterclockwise
Q. If a long straight wire carries a current I, what is the direction of the magnetic field at a point located directly above the wire?
  • A. Towards the wire
  • B. Away from the wire
  • C. Clockwise around the wire
  • D. Counterclockwise around the wire
Q. If a long straight wire carries a current I, what is the magnetic field at a distance r from the wire according to the Biot-Savart Law?
  • A. μ₀I/(2πr)
  • B. μ₀I/(4πr^2)
  • C. μ₀I/(2r)
  • D. μ₀I/(4πr)
Q. If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire?
  • A. B = μ₀I/(2πr)
  • B. B = μ₀I/(4πr^2)
  • C. B = μ₀I/(2r)
  • D. B = μ₀I/(πr^2)
Q. If a long straight wire carries a current I, what is the magnetic field B at a distance r from the wire according to the Biot-Savart Law?
  • A. B = (μ₀I)/(2πr)
  • B. B = (μ₀I)/(4πr²)
  • C. B = (μ₀I)/(r)
  • D. B = (μ₀I)/(2r)
Q. If a wire carrying current I is bent into a semicircular arc of radius R, what is the magnetic field at the center of the arc?
  • A. μ₀I/(4R)
  • B. μ₀I/(2R)
  • C. μ₀I/(8R)
  • D. μ₀I/(πR)
Q. If a wire is bent into a semicircular shape, what is the magnetic field at the center of the semicircle due to current I?
  • A. μ₀I/(4R)
  • B. μ₀I/(2R)
  • C. μ₀I/(πR)
  • D. μ₀I/(8R)
Q. If the angle between the current element and the line joining the current element to the point of interest is 90 degrees, what is the contribution of that current element to the magnetic field?
  • A. Maximum
  • B. Minimum
  • C. Zero
  • D. Undefined
Q. If the current in a circular loop is increased, what happens to the magnetic field at the center of the loop?
  • A. It decreases
  • B. It increases
  • C. It remains the same
  • D. It becomes zero
Q. If the current in a wire is doubled, how does the magnetic field at a point 5 cm away from the wire 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?
  • A. It remains the same
  • B. It doubles
  • C. It quadruples
  • D. It halves
Q. If two parallel wires carry currents in the same direction, what is the nature of the force between them?
  • A. Attractive
  • B. Repulsive
  • C. No force
  • D. Depends on the distance
Q. In a circular loop of radius R carrying a current I, what is the magnetic field at the center of the loop according to the Biot-Savart Law?
  • A. B = (μ₀I)/(2R)
  • B. B = (μ₀I)/(4R)
  • C. B = (μ₀I)/(R)
  • D. B = (μ₀I)/(πR)
Q. In a circular loop of radius R carrying a current I, what is the magnetic field at the center of the loop?
  • A. μ₀I/(2R)
  • B. μ₀I/(4R)
  • C. μ₀I/(2πR)
  • D. μ₀I/(4πR)
Q. In a situation where two parallel wires carry currents in the same direction, what is the nature of the force between them?
  • A. Attractive
  • B. Repulsive
  • C. No force
  • D. Depends on the distance
Q. In a solenoid carrying current, what is the magnetic field inside the solenoid?
  • A. Zero
  • B. μ₀nI
  • C. μ₀I
  • D. μ₀I/(2n)
Q. In Biot-Savart Law, what does the term 'dL' represent?
  • A. Element of current
  • B. Element of length
  • C. Element of magnetic field
  • D. Element of charge
Q. In the Biot-Savart Law, what does the term 'dl' represent?
  • A. The length of the wire segment
  • B. The distance from the wire to the point of interest
  • C. The current flowing through the wire
  • D. The angle between the wire and the point
Q. In the context of the Biot-Savart Law, what does the symbol μ₀ represent?
  • A. Electric permittivity
  • B. Magnetic permeability of free space
  • C. Magnetic field strength
  • D. Electric field strength
Q. In the context of the Biot-Savart Law, what does the term 'current element' refer to?
  • A. A small segment of wire carrying current
  • B. The total current in the wire
  • C. The direction of current flow
  • D. The magnetic field produced by the current
Q. Using Biot-Savart Law, what is the magnetic field at the center of a circular loop of radius R carrying current I?
  • A. μ₀I/(2R)
  • B. μ₀I/(4R)
  • C. μ₀I/(πR)
  • D. μ₀I/(2πR)
Q. What does the Biot-Savart Law describe?
  • A. The force between two charges
  • B. The magnetic field generated by a steady current
  • C. The electric field due to a point charge
  • D. The potential energy of a system of charges
Q. What is the direction of the magnetic field produced by a current-carrying loop at its center?
  • A. Perpendicular to the plane of the loop
  • B. In the plane of the loop
  • C. Radially outward from the loop
  • D. Radially inward towards the loop
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
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
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
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
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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