The diagram above shows a balanced metre bridge, the value of x is
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Correct Answer: Option C
Explanation:
1/R = 1/8 + 1/8 = 2/8
∴ R = 4Ωl/l[sub]1[/sub] = R/R[sub]1[/sub]
(x)/(100-x) = 4/8
4(100-x) = 8x
400-4x = 8x
400 = 8x + 4x = 12x
x = 400/12 = 33.3cm
1/R = 1/8 + 1/8 = 2/8
∴ R = 4Ωl/l[sub]1[/sub] = R/R[sub]1[/sub]
(x)/(100-x) = 4/8
4(100-x) = 8x
400-4x = 8x
400 = 8x + 4x = 12x
x = 400/12 = 33.3cm