1. True or False Charging a parallelplate capacitor requires no work provided th

Question

1. True or False    Charging a parallelplate capacitor requires no work provided the charges placed on thetwo plates are equal and opposite.   Explain yourresponse. 2. Capacitance of a parallel plate capacitor increasedecrease or stay the same if    a.   the charge on the platedoubles    b.   the potentialdifference across plates is tripled    c.   the distance between the plates ishalved    d.   area of the plates isdoubled    e    electric field isreduced by half 1. True or False    Charging a parallelplate capacitor requires no work provided the charges placed on thetwo plates are equal and opposite.   Explain yourresponse. 2. Capacitance of a parallel plate capacitor increasedecrease or stay the same if    a.   the charge on the platedoubles    b.   the potentialdifference across plates is tripled    c.   the distance between the plates ishalved    d.   area of the plates isdoubled    e    electric field isreduced by half

Explanation / Answer

1. false the work required is 1/2 cV^2 as initial dischargedcapacitor was at zero energy state now post charging if you connectthe 2 plates through say a resistance a current will flow hence ithas reached a higher potential state which requires work to bedone 2 a) capacitance doubles as C=Q/V b) capacitance is 1/3rd as C = Q/V so if v is tripled c becomes1/3rd of original similarly as C = constant A/d c) as the distance is halved we have twice the capacitance d) as the area is doubles we wil have twice the capacitance if theelectricfield is halfed the constant depends linearly on the fieldhence the capacitanceis also halfed

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