1.

In a parallel palte capacitor with air between the plates, each plate has an area of 6 xx 10^(-3) m^2 and the distacne between the plates is 3 mm. Calculatete capacitance of the capacitor. If this capacitor is connected to a 100 V supply, what is the eachplate of the capacitor ?

Answer»

SOLUTION :Here `A = 6 xx 10^(-3) m^2, d = 3 m m = 3 xx 10^(-3) m` and for air K = 1
`:.` Capacitance `C = (K epsi_0A)/d = (1 xx 8.85 xx 10^(-12) xx 6 xx 10^(-3))/(3 xx 10^(-3)) = 17.7xx 10^(-12) F = 17.7 PF= 18 pF`
When V = 100 V, the charge on each plate of capacitor
`Q = CV = 17.7 xx 10^(-12) xx 100 = 1.77 xx 10^(-9) C or 1.77 nC = 1.8 nC`


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