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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

Four resistors and a 6V battery are arranged as shown in the circuit diagramThe largest potential difference is across which resistorsa It is the same and the l class=

Respuesta :

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

[tex]R_{eq1}=\frac{30\cdot60}{30+60^}[/tex][tex]R_{eq1}=20\Omega[/tex]

[tex]R_{eq2}=20+10=30\Omega[/tex]

For the 10Ω resistor, the voltage is:

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

For the 30-Ω resistor

[tex]\begin{gathered} V_{30}=0.04V \\ \end{gathered}[/tex]

For the 60-Ω resistor:

[tex]V_{60}=4V[/tex]

And for the 20-Ω resistor:

[tex]V_{20}=6V[/tex]

Therefore, we can conclude:

d- the 20-Ω resistor

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