Question

What is the current through r2 in circuit 2?

1) .0025 amps
2) .0144 amps
3) .003 amps
4) .00034 amps

Answer 1

The current through R2 in circuit 2 is 0.003 amps.Thus, the correct option is 3.

Step-by-step explanation:

To find the current through R2 in circuit 2, we can use Ohm's Law, which states that
`\( I = (V)/(R) \)`, where I is the current, V is the voltage, and R is the resistance. In circuit 2, R2is in series with R3, and this combination is in parallel with R1

The total resistance in the parallel combination of R1 , R2, and R3 is given by
`\( \frac{1}{R_{\text{total}}} = (1)/(R1) + (1)/(R2 + R3) \)`. Once we find
`\( R_{\text{total}} \)`, we can use Ohm's Law to find the total current, and then apply the current divider rule to determine the current through R2 .

Substituting the given resistor values (assuming the resistors are in ohms), we can calculate
`\( R_{\text{total}} \)`. Once we find
`\( R_{\text{total}} \)`, we can determine the total current
`\( I_{\text{total}} \)`. Finally, applying the current divider rule, we can find the current through R2 . The detailed calculations involve the use of these formulas and specific resistor values provided in the circuit.