The velocity acquired by a charged particle of mass \(m\) and charge \(Q\) accelerated from rest by a potential \(V\) is
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- \(\frac{QV}{m}\)
- \(\sqrt{\frac{m}{QV}}\)
- \(\sqrt{mQV}\)
- \(mQV\)
- \(\sqrt{\frac{2QV}{m}}\)
The Correct Option is
Solution and Explanation
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A circuit consisting of a capacitor C, a resistor of resistance R and an ideal battery of emf V, as shown in figure is known as RC series circuit.
As soon as the circuit is completed by closing key S₁ (keeping S₂ open) charges begin to flow between the capacitor plates and the battery terminals. The charge on the capacitor increases and consequently the potential difference Vc (= q/C) across the capacitor also increases with time. When this potential difference equals the potential difference across the battery, the capacitor is fully charged (Q = VC). During this process of charging, the charge q on the capacitor changes with time t as
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The charging current can be obtained by differentiating it and using
\(\frac{d}{dx} (e^{mx}) = me^{mx}\)
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