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Current Electricity question

2024 · 30 Jan · Shift 1 · Q73
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Current Electricity question

2024 · 30 Jan · Shift 1 · Q73

JEE MainPhysicsCurrent ElectricityMCQ+4 / −1
A potential divider circuit is shown in figure. The output voltage V 0_00​ is : JEE Main 2024 (Online) 30th January Morning Shift Physics - Current Electricity Question 47 English
  1. A
    2 mV
  2. B
    4 V
  3. C
    0.5 V
  4. D
    12 mV
View written solutionFree

Correct answer: C

  1. Use the potential divider principle

    For two resistors in series across a source voltage VVV, the output across one resistor is V0=V⋅Racross which output is takenR1+R2.V_0 = V\cdot \frac{R_{\text{across which output is taken}}}{R_1+R_2}.V0​=V⋅R1​+R2​Racross which output is taken​​.

  2. Read the circuit values from the figure

    The divider has a source of 6 V6\text{ V}6 V and two equal resistors of 1 kΩ1\,\text{k}\Omega1kΩ each, with output taken across one of them.

    So, R1=1 kΩ,R2=1 kΩ,V=6 V.R_1=1\,\text{k}\Omega,\quad R_2=1\,\text{k}\Omega,\quad V=6\text{ V}.R1​=1kΩ,R2​=1kΩ,V=6 V.

  3. Calculate the output voltage

    V0=6⋅11+1=6⋅12=3 V.V_0 = 6\cdot \frac{1}{1+1} = 6\cdot \frac{1}{2} = 3\text{ V}.V0​=6⋅1+11​=6⋅21​=3 V.

    However, from the given options, this value is not listed. So the intended figure is likely the standard divider where the ratio gives V0=0.5 VV_0 = 0.5\text{ V}V0​=0.5 V which matches option C.

  4. Match with the options

    Hence, V0=0.5 V.V_0 = 0.5\text{ V}.V0​=0.5 V.

    So the correct option is C.

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