Step 1: Identify the given values

The emf of the cell, E = 90 V
The resistance of each resistor in the series, R = 100 Ω
The resistance of the voltmeter, V = 400 Ω

Step 2: Calculate the total resistance in the circuit

Since the two resistors are in series, their resistances add up. So, the total resistance in the circuit, R_total = R1 + R2 = 100 Ω + 100 Ω = 200 Ω

Step 3: Calculate the current in the circuit

Using Ohm's law, I = E / R_total = 90 V / 200 Ω = 0.45 A

Step 4: Calculate the potential difference across one resistor

The potential difference across one resistor, V_R = I * R = 0.45 A * 100 Ω = 45 V

Step 5: Calculate the potential difference measured by the voltmeter

The voltmeter is connected in parallel to one of the resistors. Therefore, the potential difference it measures is the same as the potential difference across the resistor it is connected to. So, the reading of the voltmeter, V_voltmeter = V_R = 45 V

So, the reading of the voltmeter will be 45 V.

Question

Step 1: Identify the given values

The emf of the cell, E = 90 V
The resistance of each resistor in the series, R = 100 Ω
The resistance of the voltmeter, V = 400 Ω

Step 2: Calculate the total resistance in the circuit

Since the two resistors are in series, their resistances add up. So, the total resistance in the circuit, R_total = R1 + R2 = 100 Ω + 100 Ω = 200 Ω

Step 3: Calculate the current in the circuit

Using Ohm's law, I = E / R_total = 90 V / 200 Ω = 0.45 A

Step 4: Calculate the potential difference across one resistor

The potential difference across one resistor, V_R = I * R = 0.45 A * 100 Ω = 45 V

Step 5: Calculate the potential difference measured by the voltmeter

The voltmeter is connected in parallel to one of the resistors. Therefore, the potential difference it measures is the same as the potential difference across the resistor it is connected to. So, the reading of the voltmeter, V_voltmeter = V_R = 45 V

So, the reading of the voltmeter will be 45 V.

Knowee AI · Accepted Answer

Step 1: Identify the given values

The emf of the cell, E = 90 V
The resistance of each resistor in the series, R = 100 Ω
The resistance of the voltmeter, V = 400 Ω

Step 2: Calculate the total resistance in the circuit

Since the two resistors are in series, their resistances add up. So, the total resistance in the circuit, R_total = R1 + R2 = 100 Ω + 100 Ω = 200 Ω

Step 3: Calculate the current in the circuit

Using Ohm's law, I = E / R_total = 90 V / 200 Ω = 0.45 A

Step 4: Calculate the potential difference across one resistor

The potential difference across one resistor, V_R = I * R = 0.45 A * 100 Ω = 45 V

Step 5: Calculate the potential difference measured by the voltmeter

The voltmeter is connected in parallel to one of the resistors. Therefore, the potential difference it measures is the same as the potential difference across the resistor it is connected to. So, the reading of the voltmeter, V_voltmeter = V_R = 45 V

So, the reading of the voltmeter will be 45 V.

A cell of emf 90 V is connected across series combination of two resistors each of 100 Ω resistance. A voltmeter of resistance 400 Ω is used to measure the potential difference across one of the given resistors. The reading of the voltmeter will be:

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