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Calculate the reading of voltmeter V.
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Step 1: Calculate the reading of voltmeter V.
The voltmeter V is connected across the resistor. The total current from the ammeter, , flows through this resistor.
Using Ohm's Law, .
a) The reading of V is .
Step 2: Calculate the total resistance of the parallel circuit.
The parallel circuit consists of , , and resistors.
The formula for equivalent resistance in parallel is:
To add these fractions, find a common denominator, which is 4.
b) The total resistance of the parallel circuit is .
Step 3: Find the current through the resistor.
First, calculate the voltage across the parallel combination. The total current flows through the equivalent parallel resistance .
Now, use Ohm's Law to find the current through the resistor, as the voltage across all parallel branches is the same ().
c) The current through the resistor is .
Step 4: Calculate the electromotive force (emf) of the cell.
First, calculate the total resistance of the entire circuit. This is the sum of the series resistor and the equivalent parallel resistance.
Convert to a fraction: .
Find a common denominator, which is 35.
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