What happens to the power loss when the...

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Question 1 of 205eccefa3bacbc34ba4d47eca

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

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5eccefa3bacbc34ba4d47eca

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

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🔍 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

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Question 1 of 205eccefa3bacbc34ba4d47eca

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

Back

Question 1 of 20

5eccefa3bacbc34ba4d47eca

Q

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

No comments yet

Be the first to share your thoughts!

If the question has a related picture, it will appear here.

🔍 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

👋 Hi! I'm Genie, your AI study assistant. How can I help you with this question?

Quick actions

— No credit card needed