A 7 μF capacitor is connected to a 5 V battery.

(a) How much charge is stored on its plates when it is fully charged?

(b) How much energy is stored by it when it is fully charged?



Answer :

Final answer:

The charge stored on a 7 uF capacitor when fully charged is 35 uC, and the energy stored is 0.175 mJ.


Explanation:

(a) Charge stored: To find the charge, we use the formula Q = CV. Given C = 7 uF and V = 5 V, Q = (7 x 10^-6 F) x 5 V = 35 x 10^-6 C = 35 uC.

(b) Energy stored: The energy stored in a capacitor is given by E = 0.5 CV^2. Substituting C = 7 uF and V = 5 V gives E = 0.5 x 7 x 10^-6 F x (5 V)^2 = 0.175 x 10^-3 J = 0.175 mJ.


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