Question

A 16 V battery does 1705 J of work transferring charge. How much charge is transferred? Answer in units of C.

Answer 1

Answer:

Explanation:

Given

Voltage $V=16\ V$

Work done $W=1705\ J$

Work is Equivalent to energy

We know that Charge is given by

$Q=I\cdot t$

where I=current

t=time

Energy $E=P\times t$

P=power

P=V\times I

V=Voltage

I=current

Also Energy $E=V\cdot I\cdot t$

$I=\frac{E}{V\cdot t}$

Substitute the value of I in charge

$Q=\frac{E}{V\cdot t}\times t$

$Q=\frac{E}{V}$

$Q=\frac{1705}{16}$

$Q=106.56\ C$