Two insulated metal spheres of radii 10 cm and 15 cm charged to a potential 150V and 100V respectively are connected by means of metallic wire. What is the charge on the first sphere (radius=10 cm)
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The charge on the first sphere is Q1 = 6.6 x 10^-19 C.
Explanation:
Sphere A = radius (r1) = 15 cm
Voltage (V1) = 100 V
Sphere B = radius (r2) = 10 cm
Voltage (V2) = 150 V
After connecting the spheres the potential will be the same and total initial charge will be equal to the total final charge.
=> Kq1/r1 = KQ2/r2 ......(1)
Qinitial = Qfinal .....(2)
Qinitial = V1r1/K = + V2r2 /k
= 100 x 0.15/k + 150 x 0.1/k
= 15/k + 15/k = 30/k
Now
= kQ1/0.1 + kQ2/0.15
=> 10Q1 = 30 - Q1k/0.15 k
=> Q1 = 6.6 x 10^-19 C
Thus the charge on the first sphere is Q1 = 6.6 x 10^-19 C
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