Problem: Consider the circuit shown in (Figure 1).What is the current through the battery? Express your answer to two significant figures and include the appropriate units.

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FREE Expert Solution

Current:

i=VReq

Equivalent resistance for resistors in series:

Req=R1+R2+R3+...+Rn

Equivalent resistance for resistors in parallel:

1Req=1R1+1R2+...+1Rn

Label the resistors as follows:

Resistors 5 and 7 are in series.

R57 = 10 + 2 = 12Ω

R57 is in parallel with R6

R567 = (12)(6)/(12 + 6) = 4Ω

R567 is in series with R8

R5678 = 4 + 8 = 12Ω

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Problem Details

Consider the circuit shown in (Figure 1).

What is the current through the battery? Express your answer to two significant figures and include the appropriate units.

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Our tutors have indicated that to solve this problem you will need to apply the Combining Resistors in Series & Parallel concept. You can view video lessons to learn Combining Resistors in Series & Parallel. Or if you need more Combining Resistors in Series & Parallel practice, you can also practice Combining Resistors in Series & Parallel practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Younes' class at GWU.