Biot-Savart Law and its Application to Current Carrying Circular Loop NEET Questions

Biot-Savart Law and its Application to Current Carrying Circular Loop MCQ Questions

1.
According to Biot-Savart law, the magnetic field dB at a point due to a current element I dl is proportional to:
A.
I dl cosθ / r²
B.
I dl / r²
C.
I dl sinθ / r³
D.
I dl sinθ / r²
ANSWER :
D. I dl sinθ / r²
2.
The magnetic field at the centre of a circular coil of radius R carrying current I is:
A.
μ₀I / 4R
B.
μ₀I / 4πR
C.
μ₀I / 2R
D.
μ₀I / 2πR
ANSWER :
C. μ₀I / 2R
3.
The magnetic field on the axis of a circular coil of radius R carrying current I at a distance x from the centre is:
A.
μ₀I / 2(x² + R²)^(1/2)
B.
μ₀IR² / 4π(x² + R²)^(3/2)
C.
μ₀IR² / 2(x² + R²)^(3/2)
D.
μ₀IR / 2(x² + R²)^(3/2)
ANSWER :
C. μ₀IR² / 2(x² + R²)^(3/2)
4.
The direction of magnetic field due to a current element is given by:
A.
Right hand screw rule (dl × r)
B.
Ampere's swimming rule
C.
Fleming's right hand rule
D.
Fleming's left hand rule
ANSWER :
A. Right hand screw rule (dl × r)
5.
A circular coil of 100 turns has a radius of 10 cm and carries a current of 1 A. The magnetic field at its centre is:
A.
6.28 × 10⁻³ T
B.
3.14 × 10⁻³ T
C.
6.28 × 10⁻⁴ T
D.
2.14 × 10⁻⁴ T
ANSWER :
C. 6.28 × 10⁻⁴ T
6.
The magnetic field at the centre of a semicircular arc of radius R carrying current I is:
A.
μ₀I / 4R
B.
μ₀I / 8R
C.
μ₀I / πR
D.
μ₀I / 2R
ANSWER :
A. μ₀I / 4R