Answer to Question #282604 in Electric Circuits for Anonymous005

Question

Find the value of the unknown resistance in each case:

a. A 20 Ω, 18 Ω, and an unknown resistor connected in series to give a total resistance of 64 Ω.

b. Two identical unknown bulbs connected in series with 50 Ω and a 64 Ω heater to produce a total resistance of 150 Ω.

Answer 1

$R_T = R_1+R_2+R_3+----$

$20 +18+R=64\\R=26\Omega$

Part b

Let R = resistance of each bulb

R+R+ 50 +64= 150

R=$18\Omega$