When a resistance R is connected in series with an element A, the electric current is found to be lagging behind the voltage by angle `theta_(1)`. When the same resistanceis connected in series with element B, current leads voltage by `theta_(2)`. When R, A, B are connected in series, the current now leads voltage by theta. Assume same AC source is used in all cases, then:

Options

A. `theta=theta_2-theta_1`
B. `tantheta=tantheta_2-tantheta_1`
C. `theta=(theta_1+theta_2)/2`
D. `tantheta=2tantheta_2-tan theta_1`

Answer

B