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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
in Physics | 22 views

Correct option is A) 0.14 mC

Explaination:

$$Q=\frac{\triangle\phi}{R}=\frac{1}{10}A(B_f-B_i)$$

$$\\ =\frac{1}{10}\times3.5\times10^{-3}(0.4sin\frac{\pi}{2}-0)$$

$$\\ \frac{1}{10}\times3.5\times10^{-3}(0.4-0)\\$$

$$1.4\times10^{-4}=0.14mC$$

by Expert (11.6k points)