Question

The capacitance of a charged capacitor is 'c' and the energy stored in it is 'u' what is the value of charge on the capacitor

Answer 1

Final Answer :
$\sqrt{2qc}$

Steps:
1) We know that the Electrostatic Energy stored in a charger capacitor is given by
U = 1/2 CV^2 -----(1)
where V -> Potential Difference across capacitor.
C - > Capacitance of Capacitor.

2) We know that, Charge in Capacitor,
Q = CV. -----(2)

Substituting value of Q in equation (1) ,

U = 1/2 C ( Q/ C) ^2
=> U =Q^2/(2C)
=> Q^2 = 2CU
=> Q =√(2CU)

Hence, Value of Charge in Capacitor in terms of Capacitance 'C'and Electrostatic Energy 'U'
is given √(2CU) .