The charge on a parallel plate capacitor varies as `q = q_(0) "cos" 2 pit`. The plates are very large and close together (area = A, separation = d). The displacement current through the capacitor is

Options

A. `q_(0)2pi upsilon sin pi upsilongt`
B. `-q_(0)2pi upsilon sin 2pi upsilon t`
C. `q_(0)2pi sin pi upsilon t`
D. `q_(0)pi upsilon sin 2pi upsilont`

Answer

B

Explanation

Displacement current, `I_(D)=` conduction current, `I_(C )`
`therefore" "(dq)/(dt)=(d)/(dt)[q_(0) cos 2 pi upsilon t]=-q_(0)2pi upsilont`