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Draw a circuit diagram of an electric ci...

Draw a circuit diagram of an electric circuit containing a cell, a key, an ammeter, a resistance of `2 Omega` in series with a combination of two resistors (`4 Omega` each) in parallel and a voltmeter across the parallel combination. Will the potential difference across the `2 Omega` resistor be the same as that across the parallel combination of `4 Omega` resistors ? Give reason.

Text Solution

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Effective resistance of combination of two resistors (4 ohms each) in parallel is
`R_("eff")=4/2 =2 omega`
Since, the resistor of 2 ohms and parallel combination of two 4 ohms resistors are in series, same current will flow through these. Hence, the potential difference across 2 ohms resistor is same as that across combination of two resistors.

Yes. Total resistance of the parallel combination is also 2 ohm.
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