What is the power delivered to the load if the current is 4 amperes and the load resistance is 4 ohms?

What is the power delivered to the load if the current is 4 amperes and the load resistance is 4 ohms?

• A. 4W.
• B. 8W.
• C. 32W.
• D. 64W.

Answer: (D)

To determine the power delivered to the load, you can use the formula for electrical power, which is given by: \( P = I^2 \times R \) where: - \( P \) is the power in watts (W), - \( I \) is the current in amperes (A), - \( R \) is the load resistance in ohms (Ω). In this scenario: - The current \( I \) is 4 amperes, - The load resistance \( R \) is 4 ohms. Substituting the values into the formula: \( P = (4 \, \text{A})^2 \times (4 \, \Omega) \) \( P = 16 \, \text{A}^2 \times 4 \, \Omega \) \( P = 64 \, \text{W} \) Thus, the power delivered to the load is 64 watts, making this the correct choice. The significant aspect here is that the power is a function of the square of the current multiplied by the resistance, showing how both current and resistance play crucial roles in determining the power output in a circuit.

To determine the power delivered to the load, you can use the formula for electrical power, which is given by:

( P = I^2 \times R )

where:

• ( P ) is the power in watts (W),

• ( I ) is the current in amperes (A),

• ( R ) is the load resistance in ohms (Ω).

In this scenario:

• The current ( I ) is 4 amperes,

• The load resistance ( R ) is 4 ohms.

Substituting the values into the formula:

( P = (4 , \text{A})^2 \times (4 , \Omega) )

( P = 16 , \text{A}^2 \times 4 , \Omega )

( P = 64 , \text{W} )

Thus, the power delivered to the load is 64 watts, making this the correct choice. The significant aspect here is that the power is a function of the square of the current multiplied by the resistance, showing how both current and resistance play crucial roles in determining the power output in a circuit.