High School

Two resistors of resistance 12 ohms and 6 ohms are connected in parallel to a battery of 12 V. Calculate the equivalent resistance of the network.

Answer :

Final answer:

The equivalent resistance of two resistors connected in parallel can be calculated using the formula 1/Req = 1/R1 + 1/R2. In this case, the equivalent resistance is 4 ohm.

Explanation:

When resistors are connected in parallel, the equivalent resistance is given by the formula:

1/Req = 1/R1 + 1/R2

Using this formula with the values of the resistors R1 = 12 ohm and R2 = 6 ohm, we can calculate:

1/Req = 1/12 + 1/6 = 1/12 + 2/12 = 3/12 = 1/4

Therefore, the equivalent resistance Req is:

Req = 4 ohm

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