To find the efficiency of the transmission line, we first need to calculate the power loss in the transmission line and then subtract it from the total power to get the actual power delivered.

Step 1: Calculate the current in the line
The power P delivered by the line is given by P = VI, where V is the voltage and I is the current. So we can solve for I:

I = P/V = 1000W/220V = 4.55 A

Step 2: Calculate the power loss in the line
The power loss in the line is given by P_loss = I^2R, where R is the resistance of the line. So:

P_loss = (4.55 A)^2 * 2 Ω = 41.4 W

Step 3: Calculate the efficiency of the line
The efficiency η of the line is given by η = (P - P_loss) / P

Question

To find the efficiency of the transmission line, we first need to calculate the power loss in the transmission line and then subtract it from the total power to get the actual power delivered.

Step 1: Calculate the current in the line
The power P delivered by the line is given by P = VI, where V is the voltage and I is the current. So we can solve for I:

I = P/V = 1000W/220V = 4.55 A

Step 2: Calculate the power loss in the line
The power loss in the line is given by P_loss = I^2R, where R is the resistance of the line. So:

P_loss = (4.55 A)^2 * 2 Ω = 41.4 W

Step 3: Calculate the efficiency of the line
The efficiency η of the line is given by η = (P - P_loss) / P

Knowee AI · Accepted Answer

To find the efficiency of the transmission line, we first need to calculate the power loss in the transmission line and then subtract it from the total power to get the actual power delivered.

Step 1: Calculate the current in the line
The power P delivered by the line is given by P = VI, where V is the voltage and I is the current. So we can solve for I:

I = P/V = 1000W/220V = 4.55 A

Step 2: Calculate the power loss in the line
The power loss in the line is given by P_loss = I^2R, where R is the resistance of the line. So:

P_loss = (4.55 A)^2 * 2 Ω = 41.4 W

Step 3: Calculate the efficiency of the line
The efficiency η of the line is given by η = (P - P_loss) / P

An electrical power line, having a total resistance of 2 Ω, delivers 1 kW at 220 V. The efficiency of the transmission line is approximately :

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