Question:
A $10\, V$ battery with internal resistance $1\, \Omega$ and a $15\, V$ battery with internal resistance $0.6\, \Omega$ are connected in parallel to a voltmeter (see figure). The reading in the voltmeter will be close to :
A $10\, V$ battery with internal resistance $1\, \Omega$ and a $15\, V$ battery with internal resistance $0.6\, \Omega$ are connected in parallel to a voltmeter (see figure). The reading in the voltmeter will be close to :
Updated On: Jun 8, 2024
- 12.5 V
- 24.5 V
- 13.1 V
- 11.9 V
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The Correct Option is C
Solution and Explanation
As the two cells oppose each other hence,
the effective emf in closed circuit is $15-10=5 V$
and net resistance is $1+ 0.6=1.6\, \Omega$
(because in the closed circuit the internal resistance of two cells are in series.
Current in the circuit, $\frac{\text { effective emf }}{\text { total resistance }}=\frac{5}{1.6} A$
The potential difference across voltmeter will be same as
the terminal voltage of either cell. Since the current is
drawn from the cell of $15 \,V$
$\therefore V_{1}=E_{1}-I r_{1}$
$=15-\frac{5}{1.6} \times 0.6=13.1 \,V$
the effective emf in closed circuit is $15-10=5 V$
and net resistance is $1+ 0.6=1.6\, \Omega$
(because in the closed circuit the internal resistance of two cells are in series.
Current in the circuit, $\frac{\text { effective emf }}{\text { total resistance }}=\frac{5}{1.6} A$
The potential difference across voltmeter will be same as
the terminal voltage of either cell. Since the current is
drawn from the cell of $15 \,V$
$\therefore V_{1}=E_{1}-I r_{1}$
$=15-\frac{5}{1.6} \times 0.6=13.1 \,V$
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Concepts Used:
Resistance
Resistance is the measure of opposition applied by any object to the flow of electric current. A resistor is an electronic constituent that is used in the circuit with the purpose of offering that specific amount of resistance.
R=V/I
In this case,
v = Voltage across its ends
I = Current flowing through it
All materials resist current flow to some degree. They fall into one of two broad categories:
- Conductors: Materials that offer very little resistance where electrons can move easily. Examples: silver, copper, gold and aluminum.
- Insulators: Materials that present high resistance and restrict the flow of electrons. Examples: Rubber, paper, glass, wood and plastic.
Resistance measurements are normally taken to indicate the condition of a component or a circuit.
- The higher the resistance, the lower the current flow. If abnormally high, one possible cause (among many) could be damaged conductors due to burning or corrosion. All conductors give off some degree of heat, so overheating is an issue often associated with resistance.
- The lower the resistance, the higher the current flow. Possible causes: insulators damaged by moisture or overheating.