Answer :
Final answer:
The equivalent resistance of 35 ohm, 55 ohm, and 85 ohm resistors in parallel is approximately 17.086 ohms, which does not match any of the provided options.Therefore, none of the options are correct.
Explanation:
To calculate 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, etc., are the resistances of the individual resistors.
Applying this to the given resistors of 35 ohms, 55 ohms, and 85 ohms in parallel, we would have:
1/Req = 1/35 + 1/55 + 1/85
Calculating this, we get:
1/Req= 0.02857... + 0.01818... + 0.01176...= 0.05851...
Then, calculate the inverse of this sum to find the equivalent resistance:
Req = 1 / 0.05851... = 17.086 ohms, approximately
None of the options provided (14.9 ohms, 28.3 ohms, 38.1 ohms, 43.5 ohms) matches the calculated value of 17.086 ohms, hence there is either a mistake in the options given or the calculation performed.
