Question

A conducting circular loop made of a thin wire, has area 3.5 x 10^–3 m² and resistance 10Ω . It is placed perpendicular to a time dependent magnetic field B(t) = (0.4T) sin(50πt). The field is uniform in space. Then the net charge flowing through the loop during t = 0 s and t = 10 ms is close to:

• (1)   0.14 mc
• (2)   21 mC 
• (3)   6 mC 
• (4)   7 Mc 

Answer 1

Correct option is A) 0.14 mC

Explaination:

$Q=\frac{\mathrm{△}\varphi }{R}=\frac{1}{10}A(B_f-B_i)$

$=\frac{1}{10}\times 3.5\times {10}^{-3}(0.4sin\frac{\pi }{2}-0)$ 

$\frac{1}{10}\times 3.5\times {10}^{-3}(0.4-0)$

$1.4\times {10}^{-4}=0.14mC$