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Find the current flowing across three re...

Find the current flowing across three resistors ` 3 Omega, 5 Omega` and ` 2 Omega` connected in parallel to a 15 V supply. Also find the effective resistance and total current drawn from the supply.

Text Solution

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`R_1 = 3Omega, R_2 = 5Omega, R_3 = 2 Omega ,` Supply voltage V = 15 volt.
Effective resistance of parallel combination
`1/R_p = 1/R_1 + 1/R_2 + 1/R_3`
`= 1/3 + 1/5 + 1/2`
`R_p = 0.9677 Omega`

Current through `R_1`,
`I_1 = V/R_1 = 15/3 = 5 A`
Current through `R_2`,
`I_2 = V/R_2 = 15/2 = 3 A`
Current through `R_3`.
`I_3 = V/R_3 = 15/2 = 7.5 A`
Total current `I = V/R_p = 15/(0.9677) = 15.5 A`
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