What happens to the power loss when the...

Question 1 / 270705eccefa3bacbc34ba4d47eca

Question 1 of 270705eccefa3bacbc34ba4d47eca

What happens to the power loss when the current flow in a power transmission line is halved?

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Question 1 of 27070

Q

What happens to the power loss when the current flow in a power transmission line is halved?

🔍 Key Concepts

• Power loss in a conductor is related to both current and resistance • The formula for power in terms of current and resistance: P = I²R • What happens to I² when current I is changed (e.g., halved, doubled)

💭 Think About

• If the current is reduced to half its original value, what happens to I² in the formula P = I²R? • Compare the original power loss P₁ = I²R with the new power loss P₂ = (I/2)²R. How does P₂ relate to P₁? • Which answer choice matches the mathematical relationship between P₁ and P₂?

✅ Before You Answer

• Be sure you are using P = I²R, not P = IV, for line power loss in a resistance • Carefully square the fraction when you halve the current: (1/2)², not just 1/2 • Compare the ratio P₂ / P₁ to see if the new power is the same, half, one-quarter, double, or four times the original

Question 1 of 27070

Q

What happens to the power loss when the current flow in a power transmission line is halved?

A

it is halved

B

it is doubled

C

it is divided by four

D

it is quadrupled

Question 1 / 270705eccefa3bacbc34ba4d47eca

Question 1 of 270705eccefa3bacbc34ba4d47eca

What happens to the power loss when the current flow in a power transmission line is halved?

Back

Question 1 of 27070

Q

What happens to the power loss when the current flow in a power transmission line is halved?

🔍 Key Concepts

• Power loss in a conductor is related to both current and resistance • The formula for power in terms of current and resistance: P = I²R • What happens to I² when current I is changed (e.g., halved, doubled)

💭 Think About

• If the current is reduced to half its original value, what happens to I² in the formula P = I²R? • Compare the original power loss P₁ = I²R with the new power loss P₂ = (I/2)²R. How does P₂ relate to P₁? • Which answer choice matches the mathematical relationship between P₁ and P₂?

✅ Before You Answer

• Be sure you are using P = I²R, not P = IV, for line power loss in a resistance • Carefully square the fraction when you halve the current: (1/2)², not just 1/2 • Compare the ratio P₂ / P₁ to see if the new power is the same, half, one-quarter, double, or four times the original