Question

Three resistors are connected as shown in the figure. The potential difference between points A and B is 26 V.How much current flows through the 3-Ω resistor?Group of answer choices

Answer 1

Given

The potential difference between two points is 26V

To find

How much current flows through the 3-Ω resistor?

Step-by-step explanation

The equivalent resistence is

`\begin{gathered} R=3+(2*4)/(2+4) \\ \Rightarrow R=3+(8)/(6) \\ \Rightarrow R=(26)/(6)=4.33\Omega \end{gathered}`

Thus the current through the circuit is

`\begin{gathered} V=RI \\ \Rightarrow26=4.33I \\ \Rightarrow I=6\text{ A} \end{gathered}`

Since the current across the series circuit is same,

Conclusion

The current through 3 ohm resistor is 6A