A9.0-v battery is connected to a resistor so that there is a 0.50-a current through the resistor. for how long should the battery be connected in order to do 160 j of work while separating charges? express your answer to two significant figures and include the appropriate units.

35.6 s

Explanation:

The power through the resistor is given by:

where V=9.0 V is the voltage and I=0.50 A is the current. Substituting into the formula, we find

The power is also equal to:

where W is the work done while t is the time taken. Since we know the work done, W=160 J, we can re-arrange the equation to find the time taken:

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