Question

The equivalent resistance of two resistances connected in parallel is given by R1​⋅R2​​/R1+R2. Find the equivalent resistance for two resistances of 70.0 and 30.0 connected in parallel. (Round your answer using the rules for working with measurements.)

a) 21.2 Ω
b) 41.2 Ω
c) 100.0 Ω
d) 200.0 Ω

Answer 1

The equivalent resistance for two resistances of 70.0 and 30.0 connected in parallel is 21.2 Ω.

Step-by-step explanation:

To find the equivalent resistance of two resistances connected in parallel, we can use the formula: Reqv = (R1 * R2) / (R1 + R2). Plugging in the values of R1 = 70.0 and R2 = 30.0, we get: Reqv = (70.0 * 30.0) / (70.0 + 30.0) = 21.2 Ω. Therefore, the equivalent resistance for the given resistances is 21.2 Ω, which corresponds to option a).