A copper wire has a resistance of 3 Ω and carries a current of 4 A. What is the power loss in the wire due to heating?
48 W
To determine the power loss in the copper wire due to heating, we use the formula for electrical power dissipated as heat through a resistor. The formula is given by:
\(P = I^2 R\)
where:
- \(P\) is the power loss in watts (W).
- \(I\) is the current passing through the wire in amperes (A).
- \(R\) is the resistance of the wire in ohms (Ω).
From the question, we are given:
- Resistance \((R) = 3 \, \Omega\)
- Current \((I) = 4 \, \text{A}\)
Substituting these values into the formula, we get:
\(P = (4)^2 \times 3\)
Calculating further:
- \((4)^2 = 16\)
- Thus, \(P = 16 \times 3 = 48 \, \text{W}\)
Therefore, the power loss in the wire due to heating is 48 W.
The correct option is 48 W.
Similar Questions
Where should an ammeter be connected in a circuit to measure current accurately?
A magnetic core carries a magnetic flux of 0.02 Wb. If the cross-sectional area of the core is kept the same, which action will most directly increase the magnetic flux?
Which type of current changes both magnitude and direction at definite intervals?
What value of inductor should be connected in parallel with a series combination of 4 H and 2 H so that the effective inductance of the circuit is 3 H?
Two magnetic paths are made of the same material and have the same cross-sectional area. Path X has length 0.1 m, and Path Y has length 0.3 m. Which statement is correct about their reluctances?
What does the magnetic permeability of a material represent?
What is the SI unit of magnetic flux?
Why is an ammeter always connected in series with the load while measuring current in a circuit?
A 2 kW electric heater operates for 45 minutes on its rated supply. How much electrical energy does it consume?
A resistor has a voltage drop of 18 V and carries a current of 3 A. What is its resistance?
Important Questions from Basic Electricity
What is the name of this electrical wire joint?
How the OLP is connected with Refrigeration circuit of a refrigerator?
Which type of relay is used with window type air conditioner?
What is the use of Thermo-Volume Switch?
What is the relation between voltage and ampere?
