A capacitor is to be designed to operate, with constant capacitance, in an environment of fluctuating temperature. As shown in the figure the capacitor is a paralel plate capacitor with 'spacer' to change the distance for compensation of temperature effect. If alpha_(1) be the coefficient of linear expansion of plates and alpha_(2) that of spacer, find the rate of change of capacitance with temperature and hence find the condition for no change in capacitance with change of temperature. The capacitance of the capacitor is equal to C.

A capacitor is to be designed to operate, with constant capacitance, i

1.	A capacitor is to be designed to operate, with constant capacitance, in an environment of fluctuating temperature. As shown in the figure the capacitor is a paralel plate capacitor with 'spacer' to change the distance for compensation of temperature effect. If alpha_(1) be the coefficient of linear expansion of plates and alpha_(2) that of spacer, find the rate of change of capacitance with temperature and hence find the condition for no change in capacitance with change of temperature. The capacitance of the capacitor is equal to C.
Answer» ANSWER :`C(2alpha_(1)-alpha_(2));2alpha_(1)=alpha_(2)`