Question

A circuit consists of a resistance of $10\Omega$ and a capacitance of $0.1\mu F$ If an alternating emf of 100 V, 50 Hz is applied, the current in the circuit is

• A. 3.14 mA
• B. 6.28 mA
• C. 1.51 mA
• D. 7.36 mA

Answer 1

Answer: (A)

3.14 mA

Answer 2

: $X_{C} = \frac{1}{2\pi\upsilon C} = \frac{1}{2 \times 3.14 \times 50 \times 0.1 \times 10^{- 6}}$

$Z = \sqrt{R^{2} + X_{C}^{2}} = \sqrt{100 + 10.28 \times 10^{8}}$ $= 3.2 \times 10 ^ { 4 } \Omega$ $I_{rms} = \frac{\varepsilon_{rms}}{Z} = \frac{100}{3.2 \times 10^{4}} = 3.14 \times 10^{- 3}A3.14mA$