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Two Resistors of Resistance 4 ω and 6 ω Are Connected in Parallel to a Cell to Draw 0.5 a Current from the Cell. - Physics

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प्रश्न

Two resistors of resistance 4 Ω and 6 Ω are connected in parallel to a cell to draw 0.5 A current from the cell.

Calculate current in each resistor. 

बेरीज
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उत्तर

Equivalent resistance of the circuit:

`1/"R" = 1/4 + 1/6 = (3+2)/12 = 5/12`

`therefore "R" = 12/5 = 2.4  Omega`

Hence, the emf of the cell is

V = IR

∴ V = 0.5 × 2.4

∴ V = 1.2 V

Therefore, current through each resistor is

`"I"_4 = "V"/"R"_4 = 1.2/4 = 0.3 "A"`

`"I"_6 = "V"/"R"_6 = 1.2/6 = 0.2 "A"`

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