two 30 ohm resistors are connected in series. when a resistor R is connected across one of them the total circuit resistance is 60 ohms. calculate the ohmic value of R?
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Given : two 30 ohm resistors are connected in series. when a resistor R is connected across one of them the total circuit resistance is 40 ohms.
To Find : calculate the ohmic value of R
Solution:
Total Resistance = 30 + 1/(1/R + 1/30) + 40
=> 1/(1/R + 1/30) = 10
=> 1/R + 1/30 = 1/10
=> 30 + R = 3R
=> 30 = 2R
=> R = 15
ohmic value of R is 15
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