9702/41/O/N/23
7 A varying current I passes through a resistor of resistance R in the circuit shown in Fig. 7.1.
Fig. 7.2 shows the variation with time t of I.
The current has magnitude 2I0 when it is in the positive direction and I0 when it is in the negative direction. The period of the variation of the current is T.
(a) Determine expressions, in terms of I0 and R, for the power P dissipated in the resistor for the times when:
(i) the current is in the negative direction
(ii) the current is in the positive direction.
(b) On Fig. 7.3, sketch the variation of P with t between t = 0 and t = 2.0T. Label the power axis with an appropriate scale.
(c) Use your answer in (b) to determine an expression, in terms of I0 and R, for: (i) the mean power 〈P 〉 in the resistor
(ii) the root-mean-square (r.m.s.) current Ir.m.s. in the resistor.
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