WBJEE · Physics · Current Electricity
A \(1 \mu \mathrm{F}\) capacitor \(C\) is connected to a battery of \(10 \mathrm{V}\) through a resistance 1 Mega Ohm. The voltage across \(C\) after 1 s is approximately
- A \(5.6 \mathrm{V}\)
- B \(7.8 \mathrm{V}\)
- C \(6.3 \mathrm{V}\)
- D \(10 \mathrm{V}\)
Answer & Solution
Correct Answer
(C) \(6.3 \mathrm{V}\)
Step-by-step Solution
Detailed explanation
The time constant of the circuit Here, \[ \begin{aligned} \tau &=C \cdot R \\ C &=1 \mu F=1 \times 10^{-6} \end{aligned} \] \[ \begin{array}{l} R=1 \mathrm{M\Omega}=1 \times 10^{6} \Omega \\ \tau=1 \times 10^{-6} \times 1 \times 10^{6}=1 \mathrm{s} \end{array} \] We know that in…
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