In the given circuit, the resistance R has a value that depends linearly on the current. Specifically, R is 20 ohms when I is zero and the increase in resistance (in ohms) is numerically equal to one-half of the current in amperes. What is the value of current I in the circuit?
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a
8.33 amp
b
10 amp
c
12.5 amp
d
18.5 amp
answer is B.
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Detailed Solution
The value of resistor R in the circuit isR=20+I2I=25020+I2I20+I2=250I2+40I−500=0I2+50I-10I−500=0⇒ (I−10)(I+50)=0∴I=10A or I=-50Ai.e., I=10 amp