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Question
A resistance of 3Ω is connected in parallel to a galvanometer of resistance 297Ω. Find the fraction of current passing through the galvanometer.
Numerical
Solution
IgG = (I - Ig)S
From formula,
`G/S=(I-I_g)/I_g=I/I_g-1`
`G/S+1=I/I_g`
`(G+S)/S=I/I_g`
`I_g/I=S/(S+G)`
`=3/(3+297)`
`I_g/I=3/300=[3/300xx100]%`
`I_g/I=1%`
The fraction of current passing through the galvanometer is 1 %.
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