Physics
JAMB 1999
In the circuit above, the ammeter reads a current of 5.0 A when R = 8Ω and reads 7.0A when R = 5Ω. The value of the unknown resistance X is
-
A.
10.0Ω
-
B.
7.5Ω
-
C.
5.0Ω
-
D.
2.5Ω
Correct Answer: Option D
Explanation
From Ohms Law, E = I(R +X)
=> E = I
1(R
1 + X)
again, E = I
2(R
2 + X)
=> I
1(R
1 + X) = I
2(R
2 + X)
∴ 5(8 + X) = 7(5 + X)
40 + 5X = 35 + 7X
7X - 5X = 40 - 35
2X = 5
X =
5/
2
= 2.5Ω
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