Question

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

Answer 1

Step-by-step 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* t`

P=power

P=V\times I

V=Voltage

I=current

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

`I=(E)/(V\cdot t)`

Substitute the value of I in charge

`Q=(E)/(V\cdot t)* t`

`Q=(E)/(V)`

`Q=(1705)/(16)`

`Q=106.56\ C`