A flat circular coil of 10 cm radius has 200 turns of wire. The coil is connected to a capacitor of 20 μ F placed in a uniform magnetic field whose induction decreases at a rate of 0.01 T s -1. Find the charge on capacitor.

Question

A flat circular coil of 10 cm radius has 200 turns of wire. The coil is connected to a capacitor of 20 μ F placed in a uniform magnetic field whose induction decreases at a rate of 0.01 T s -1. Find the charge on capacitor. (A) 0.51 μ C (B) 0.75 μ C (C) 0.92 μ C (D) 1.25 μ C

Tardigrade Admin · Accepted Answer

Q=e C, e=(d φ/d t) Q=(d φ/d t) ⋅ C=(d/d t)(N A B) C=N A C (d B/d t) Q=200 × π × 0.12 × 10-2 × 20 × 10-6 =1.25 × 10-6 C =1.25 μ C

Q. A flat circular coil of $10 c m$ radius has $200$ turns of wire. The coil is connected to a capacitor of $20 μ F$ placed in a uniform magnetic field whose induction decreases at a rate of $0.01 T s^{- 1}$ . Find the charge on capacitor.

$0.51 μ C$

$0.75 μ C$

$0.92 μ C$

$1.25 μ C$

$Q = e C, e = \frac{d ϕ}{d t}$
$Q = \frac{d ϕ}{d t} \cdot C = \frac{d}{d t} (N A B) C = N A C \frac{d B}{d t}$
$Q = 200 \times π \times 0. 1^{2} \times 1 0^{- 2} \times 20 \times 1 0^{- 6}$
$= 1.25 \times 1 0^{- 6} C = 1.25 μ C$

Q. A flat circular coil of 10cm radius has 200 turns of wire. The coil is connected to a capacitor of 20μF placed in a uniform magnetic field whose induction decreases at a rate of 0.01Ts−1. Find the charge on capacitor.

0.51μC

0.75μC

0.92μC

1.25μC