Question

Four resistors and a 6-V battery are arranged as shown in the circuit diagram.The largest potential difference is across which resistor(s)?a- It is the same and the largest for the 30-Ω and 60-Ω resistors.b- the 30-Ω resistorc- the 10-Ω resistord- the 20-Ω resistore- the 60-Ω resistor

Answer 1

Let's find the current in the 10-Ω resistor:

`R_(eq1)=(30\cdot60)/(30+60^)`
`R_(eq1)=20\Omega`

`R_(eq2)=20+10=30\Omega`

For the 10Ω resistor, the voltage is:

`\begin{gathered} I_(10)=(V)/(R_(eq2))=(6)/(30)=0.2A \\ so: \\ V_(10)=0.2(10)=2V \end{gathered}`

For the 30-Ω resistor

`\begin{gathered} V_(30)=0.04V \\ \end{gathered}`

For the 60-Ω resistor:

`V_(60)=4V`

And for the 20-Ω resistor:

`V_(20)=6V`

Therefore, we can conclude:

d- the 20-Ω resistor