Two resistors 3 ohm and unknown resistor are connected in a series across a 12 V battery.If the voltage drop across the unknown resistor is 6 V, find (a) potential across 3 ohm resistance (b) the current through unknown resistor 'R' (c) equivalent resistance of the circuit
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Explanation:
The total of the voltage drops across resistors in series must equal the source voltage. If the drop across the unknown resistor is six Volts, the drop across the other two (three-ohm) resistors must be six Volts. Since the resistors are of equal value, the voltage drops across each must be the same. Hence, the voltage drop across each three-ohm resistor is three volts.
By the way, the “unknown” resistor is six ohms, and the current through the circuit is one Ampere. The six-ohm resistor resistor disspates six Watts, and each of the three-ohm resistors dissipates three Watts.
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