A coil with 200 turn and cross sectional area 0.10m2 is rotated at 30rev/min and it is placed in a uniform magnetic field of 0.02T perpendicular to the axis of rotation of the coil. The maximum voltage generated in the coil is

Question

A coil with 200 turn and cross sectional area 0.10m2 is rotated at 30rev/min and it is placed in a uniform magnetic field of 0.02T perpendicular to the axis of rotation of the coil. The maximum voltage generated in the coil is (A) 1.26V (B) 2.16V (C) 3.24V (D) 4.12V

Tardigrade Admin · Accepted Answer

Here upsilon=0.5 Hz, N=200, A=0.1 m2 and B=0.02 T (ϵ )0=NBA(2 π upsilon)=200× 0.02× 0.1× (2 π × 0.5)=1.26 V

Q. A coil with $200 t u r n$ and cross sectional area $0.10 m^{2}$ is rotated at $30 re v / min$ and it is placed in a uniform magnetic field of $0.02 T$ perpendicular to the axis of rotation of the coil. The maximum voltage generated in the coil is

$1.26 V$

$2.16 V$

$3.24 V$

$4.12 V$

Here $υ = 0.5 Hz, N = 200, A = 0.1 m^{2}$ and $B = 0.02 T$
$(ϵ)_{0} = NB A (2 π υ) = 200 \times 0.02 \times 0.1 \times (2 π \times 0.5) = 1.26 V$

Q. A coil with 200turn and cross sectional area 0.10m2 is rotated at 30rev/min and it is placed in a uniform magnetic field of 0.02T perpendicular to the axis of rotation of the coil. The maximum voltage generated in the coil is

1.26V

2.16V

3.24V

4.12V