unknown resistance X is joined parallel to a resistance of 20 ohm. To this combination a battery of 2volt and resistance of 10 ohm are joined in series. If the current passing through X is 0.05 .Find the value of x
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Answer:
the value of x is 5.0025
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The total resistance of a circuit connected to the given cell of emf 15 V is the sum of all the resistances from various sources like, resistors, ammeter, voltmeter, etc., connected in series along with the internal resistance of the cell.
In this case, the total resistance is given as 30+30+60=12ohms.
From the ohm's law the total current can be calculated from the formula I=V/R.
That is, I=
R
V
=
12A 15V
=1.25A.
Hence, the current through the battery is 1.25 amperes.
The voltage output of a device is measured across its terminals and is called its terminal voltage V. Terminal voltage is given by the equation V=emf-Ir where, r is the internal resistance and I is the current flowing at the time of the measurement.
Therefore, V=15V-(1.25×3)=11.25V.
Hence, the potential difference across the terminals of the cell is 11.25V