1.

An electric bulb, a capacitor, a battery and a switch are all in series in a circuit. How does the intensity of light vary when the switch is turned on?

Answer»

Continues to increase gradually
Gradually increases for some time and then becomes steady
Sharply rises initially and then gradually DECREASES
Gradually increases for some time and then gradually decreases

Solution :Time constant of circuit = CR
MAXIMUM charge on capacitor = `C xx epsi `
HENCE equations of charge and current are as given below.
`q= epsi[1- e^(-t//RC)]`
` i= ( dq )/( d t) = ( epsi)/(R) e^(-t //RC )`
` :. ` intensityof light` propI^2R.`


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