A 35 kΩ is connected in series with a resistance of...
A 35 kΩ is connected in series with a resistance of 40 kΩ. What resistance R must be connected in parallel with the combination so that the equivalent resistance is equal to 25 kΩ?
40 kΩ
37.5 kΩ
45.5 kΩ
30 kΩ
Correct answer is B
For the combination in series;
⇒R1 = 35kΩ + 40kΩ = 75kΩ
R is combined with 75kΩ in parallel to give 25kΩ
= 1Req = 1R + 1R
= 125 = 1R + 175
= 125 - 175 + 1R
= 3−175 = 1R
= 275 = 1R
= 752 = R
; R = 37.5k Ω
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