An 18 ohm and a 15 ohm resistor are...

Question 1 / 20S9aKuLh0spaNI5KqIqng

Question 1 of 20S9aKuLh0spaNI5KqIqng

An 18 ohm and a 15 ohm resistor are connected in parallel; a 36 ohm resistor is connected in series with this combination; a 22 ohm resistor is connected in parallel with this total combination. The total current is 5 A. What current is flowing in the 15 ohm resistor?

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S9aKuLh0spaNI5KqIqng

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🔍 Key Concepts

• Parallel vs. series circuits and how voltage/current behave in each • Equivalent resistance of parallel combinations using reciprocal formula • Using Ohm’s Law (V = I·R) to find voltage across branches and current in one branch

💭 Think About

• First, what is the total equivalent resistance of the two resistors in parallel (18 Ω and 15 Ω)? • Once you know that, what is the total resistance of the whole network, and what total voltage corresponds to 5 A through that total? • Given that voltage, what is the voltage across the 15 Ω resistor, and how does that give you the current in just that branch?

✅ Before You Answer

• Be sure you are using the parallel resistance formula: 1/R_eq = 1/R1 + 1/R2, not adding them directly • Confirm that the same voltage appears across components that are in parallel • After finding the current in the 15 Ω resistor, check that the sum of currents in parallel branches equals the current entering that parallel section

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Question 1 of 20

0.908 A

1.000 A

1.908 A

0.809 A

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Question 1 / 20S9aKuLh0spaNI5KqIqng

Question 1 of 20S9aKuLh0spaNI5KqIqng

Back

Question 1 of 20

S9aKuLh0spaNI5KqIqng

No comments yet

Be the first to share your thoughts!

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

🔍 Key Concepts

💭 Think About

✅ Before You Answer

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

Quick actions

— No credit card needed