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CUET
Physics
Electrostatic Potential and Capacitance
If the capacitance per unit length of a cylindrical capacitor is 20 pF/m, what is the ratio of the radii of the two cylinders? |
1:2 1:4 1:8 1:16 |
1:16 |
For a cylindrical capacitor, C = 2πεol/ln(R2/R1) Capacitance per unit length is Cl=2πϵ0lnR2R1=20×10−12F/m ⇒lnR2R1=2πϵ020×10−12=118×109×20×10−12=10.36=2.77 ⇒R2R1=e2.77=16 ⇒R1R2=1:16 |