Kirchhoff's Loop Rule Video Lessons

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Problem: Consider the circuit shown below. Suppose four resistors in this circuit have the values of R1 = 13 Ω, R2 = 7.5 Ω, R3 = 7.7 Ω and R4 = 10 Ω, and that the emf of the battery is 18 V Find the current through each resistor using Kirchoff's rules

FREE Expert Solution

Equivalent resistance for resistors in parallel for 2 resistors:

Req=R1R2R1+R2

Equivalent resistance for resistors in series:

Req=R1+R2+...+Rn

Current:

i=VR

Kirchoff's junction rule:

Σi=0

Kirchoff's loop rule:

ΣV=0

where V = iR

R2 and R4 are in series.

R24 = 7.5 + 10 = 17.5 Ω

R24 and R3 are in parallel.

R234 = (17.5)(7.7)/(17.5 + 7.7) = 5.35 Ω

R1 and R234 are in series.

Req = R1234 = 13 + 5.35 = 18.35Ω

Current, i = 18/18.35 = 0.981 A

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Problem Details

Consider the circuit shown below. Suppose four resistors in this circuit have the values of R1 = 13 Ω, R2 = 7.5 Ω, R3 = 7.7 Ω and R4 = 10 Ω, and that the emf of the battery is 18 V

 Find the current through each resistor using Kirchoff's rules

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Our tutors have indicated that to solve this problem you will need to apply the Kirchhoff's Loop Rule concept. You can view video lessons to learn Kirchhoff's Loop Rule. Or if you need more Kirchhoff's Loop Rule practice, you can also practice Kirchhoff's Loop Rule practice problems.