To determine the polarity of the voltage drop across a resistor, it is necessary to know

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WBPSC JE Electrical 2018 (Held on 18th Feb 2018) Official Paper
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  1. the value of current through the resistor.
  2. the direction of current through the resistor.
  3. the value of resistor.
  4. the e.m.f in the circuit.

Answer (Detailed Solution Below)

Option 2 : the direction of current through the resistor.
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Detailed Solution

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The correct answer is option 2):(the direction of current through the resistor.)

Concept:

  • The polarity of the voltage drop across any resistive component is determined by the direction of current flow through it: positive entering, and negative exiting.
  • When using conventional current flow, we can trace the direction of the current in the same circuit by starting at the positive (+) terminal and going to the negative (-) terminal of the battery, the only source of voltage in the circuit. From this, we can see that the current is flowing clockwise, from point 1 to 2 to 3 to 4 to 5 to 6 and back to 1 again.

  • As the current encounters the 5 Ω resistance, voltage is dropped across the resistor’s ends. The polarity of this voltage drop is positive (+) at point 3 with respect to point 4.

  • We can mark the polarity of the resistor’s voltage drop with negative and positive symbols, in accordance with the direction of the current; whichever end of the resistor the current is entering is positive with respect to the end of the resistor it is exiting

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