A 2uF capacitor is connected to a 10 V dc supply, if 'Q' represents the charge on each plate and 'E' the energy stored on each plate, which of the following represents the values of Q and E?
Correct answer: D. Q = 20 uC and E = 100 uJ
- A. Q = 20 uC and E = 50 ueV
- B. Q = 10 uC and E = 100 eV
- C. Q = 10 uC and E = 500 eV
- D. Q = 20 uC and E = 100 uJ
- E. Q = 10 uC and E = 200 uJ
Explanation
The energy stored in a capacitor is given by the formula:E = 1/2 × C × V2where E is the energy stored, C is the capacitance, and V is the voltage.In this case, C = 2 uF and V = 10 V, so:E = 1/2 × 2 uF × (10 V)2 = 100 uJThe charge on each plate of the capacitor is given by the formula:Q = C × VIn this case, C = 2 uF and V = 10 V, so:Q = 2 uF × 10 V = 20 uCTherefore, the correct answer is D) Q = 20 uC and E = 100 uJ.
This question appeared on the NUMS 2019 (cancelled sitting) paper, which you can sit online with every answer explained.
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About Capacitors
Capacitors store electric charge and energy in an electric field between conductors. Work includes capacitance, the relation Q = CV, dielectric materials, charging and discharging, energy formulas, and combinations of capacitors in series and parallel. Electric potential difference is needed to understand why charge and stored energy change.
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