Question

Difficulty: EasyElectricity and Magnetism

A portable work light operates on a simple direct-current circuit. When switched on, an electric current of 2 A2\text{ A} passes through the bulb, which has a resistance of 3 Ω3\,\Omega. According to Ohm's law (V=I×RV = I \times R), what is the voltage supplied by the battery?

  1. A
    1.5 V1.5\text{ V}
  2. B
    5 V5\text{ V}
  3. 6 V6\text{ V}Answer
  4. D
    0.67 V0.67\text{ V}

Answer

The voltage supplied by the battery is 6 V6\text{ V}.
According to Ohm's law, voltage (VV) equals current (II) multiplied by resistance (RR). Multiplying 2 A2\text{ A} by 3 Ω3\,\Omega gives 6 V6\text{ V}.

Step-by-Step Solution

1
Identify the given electrical quantities from the problem.
Current I=2 AI = 2\text{ A} and resistance R=3 ΩR = 3\,\Omega.
Ohm's law requires current and resistance to determine voltage.
2
Apply Ohm's law formula V=I×RV = I \times R.
V=2 A×3 Ω=6 VV = 2\text{ A} \times 3\,\Omega = 6\text{ V}.
Multiplying electric current by internal resistance calculates the total potential difference (voltage).

Key Concept

Ohm's law states that the electrical potential difference (voltage) across a conductor is directly proportional to the current flowing through it, given by V=I×RV = I \times R.
Estimated Time:40s
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