Sample 1Medium
A circuit shows a cell of emf 2 V and internal resistance 0.5 Ω connected to an external resistor of 3.5 Ω, with an ideal voltmeter across the cell's terminals. What does the voltmeter read?
- A
2.00 V
- B
0.25 V
- C
1.75 V
- D
1.50 V
Show the answer
The answer is C.Current I = ε/(R + r) = 2/4 = 0.5 A. Terminal voltage V = ε − Ir = 2 − 0.5 × 0.5 = 1.75 V.
- A.
2 V is the emf, read only when no current flows.
- B.
0.25 V is the drop across the internal resistance, not the terminal voltage.
- D.
1.50 V takes the internal drop as 0.5 V, i.e. uses I = 1 A.
NCERT: Class 12 Physics, Chapter 3
Sample 2NEET level
A cell of emf 2.0 V and internal resistance 0.5 Ω is connected across an external resistor of 3.5 Ω. The potential difference across the terminals of the cell is
- A
0.25 V
- B
2.0 V
- C
2.25 V
- D
1.75 V
Show the answer
The answer is D.The current is I = ε/(R + r) = 2.0/(3.5 + 0.5) = 0.5 A, so the terminal voltage is V = ε − Ir = 2.0 − 0.25 = 1.75 V (equal to IR = 0.5 × 3.5). The cell loses Ir across its own internal resistance.
- A.
0.25 V is the drop Ir inside the cell, not the terminal voltage.
- B.
2.0 V is the emf, the terminal voltage only when no current flows.
- C.
Adds Ir to the emf, as for a cell being charged, not one supplying current.
NCERT: Class 12 Physics, Chapter 3 (Current Electricity), Cells, emf, internal resistance