A 18.7 ohm and a 24.3 ohm resistor are connected
parallel. A difference in potential of 41.5 V is applied to the combination.
What is the equivalent resistance of the
parallel circuit?
Answer in units of ohm
.
To find the equivalent resistance of resistors connected in parallel, you can use the formula:
1/Req = 1/R1 + 1/R2 + 1/R3 + ...
Where Req is the equivalent resistance and R1, R2, R3, ... are the individual resistances.
In this case, you have two resistors connected in parallel with resistances R1 = 18.7 ohms and R2 = 24.3 ohms. Using the formula:
1/Req = 1/18.7 + 1/24.3
To simplify the calculation, you can find the common denominator of the fractions:
1/Req = (24.3 + 18.7) / (18.7 * 24.3)
1/Req = 43 / (18.7 * 24.3)
Now, take the reciprocal of both sides to find Req:
Req = (18.7 * 24.3) / 43
This gives you the equivalent resistance:
Req ≈ 10.56 ohms
Therefore, the equivalent resistance of the parallel circuit is approximately 10.56 ohms.