Question

Difficulty: EasyOhm's Law Calculations and Concepts

An electronics technician tests a direct current (DC) alarm buzzer with a measured resistance of 40 Ω40\text{ }\Omega. If an ammeter connected in the circuit measures a current flow of 0.5 A0.5\text{ A}, what is the voltage applied across the buzzer?

  1. A
    80 V80\text{ V}
  2. 20 V20\text{ V}Answer
  3. C
    0.0125 V0.0125\text{ V}
  4. D
    20 mV20\text{ mV}

Answer

20 V20\text{ V}
According to Ohm's law, voltage across a component equals the current flowing through it multiplied by its resistance (V=I×RV = I \times R). Multiplying 0.5 A0.5\text{ A} by 40 Ω40\text{ }\Omega gives exactly 20 V20\text{ V}.

Step-by-Step Solution

1
Identify the given values and unknown variable from the problem statement.
Current (II) = 0.5 A0.5\text{ A}, Resistance (RR) = 40 Ω40\text{ }\Omega, Voltage (VV) = ?
Establishing the known quantities determines which algebraic arrangement of Ohm's law is required.
2
Select and apply the standard Ohm's law formula for voltage.
V=I×RV = I \times R
Voltage is equal to the product of current in amperes and resistance in ohms.
3
Substitute the given numerical values into the formula and calculate.
V=0.5 A×40 Ω=20 VV = 0.5\text{ A} \times 40\text{ }\Omega = 20\text{ V}
Multiplying the decimal current by the integer resistance yields the total potential difference in volts.

Key Concept

Ohm's Law expresses the fundamental relationship between voltage, current, and resistance in a DC circuit (V=I×RV = I \times R).
Estimated Time:45s
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