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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Electric Current in Conductors

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Electric Current in Conductors

Determine the current in the three resistors depicted in the figure.

Determine the current in the three resistors depicted in the figure.
Determine the current in the three resistors depicted in the figure.

Options

  1. A1 A1\text{ A}
  2. B0 A0\text{ A}
  3. C2 A2\text{ A}
  4. D3 A3\text{ A}

Correct answer

B. 0 A0\text{ A}

Step-by-step solution

Let the potential of the bottom-left node be 0 V0\text{ V}.

Since the top-left node is connected to the bottom-left node by an ideal connecting wire, its potential is also 0 V0\text{ V}.

Moving along the top branch from left to right, the potential decreases by 2 V2\text{ V} across each battery because the positive terminal (longer line) is on the left.
Potential at the top of the first resistor =0−2=−2 V= 0 - 2 = -2\text{ V}.
Potential at the top of the second resistor =−2−2=−4 V= -2 - 2 = -4\text{ V}.
Potential at the top of the third resistor =−4−2=−6 V= -4 - 2 = -6\text{ V}.

Similarly, moving along the bottom branch from left to right, the potential also decreases by 2 V2\text{ V} across each battery.
Potential at the bottom of the first resistor =0−2=−2 V= 0 - 2 = -2\text{ V}.
Potential at the bottom of the second resistor =−2−2=−4 V= -2 - 2 = -4\text{ V}.
Potential at the bottom of the third resistor =−4−2=−6 V= -4 - 2 = -6\text{ V}.

The potential difference across each of the three resistors is:
ΔV1=−2 V−(−2 V)=0 V\Delta V_1 = -2\text{ V} - (-2\text{ V}) = 0\text{ V}
ΔV2=−4 V−(−4 V)=0 V\Delta V_2 = -4\text{ V} - (-4\text{ V}) = 0\text{ V}
ΔV3=−6 V−(−6 V)=0 V\Delta V_3 = -6\text{ V} - (-6\text{ V}) = 0\text{ V}

Since the potential difference across each resistor is zero, the current flowing through all three resistors is 0 A0\text{ A}.

Answer: 0 A0\text{ A}
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