Kirchhoff's Loop Rule Video Lessons

Concept

# Problem: What is the current through the 10 Ω resistor in the figure?  Express your answer to two significant figures and include the appropriate units. Is the current from left to right or right to left?a) left to right b) right to left

###### FREE Expert Solution

Call currents i1, i2, i3 from top branch to bottom. Assume i1 goes right to left, i2 goes left to right, i3 goes left to right. Kirchoff's junction equation:

i1 = i2 + i3

Using two counterclockwise current loops (top and bottom), write loop equations starting at top left corner of each loop.

Top loop:

−5i1 + 12 − 10i2 + 3 = 0

Bottom loop:

−3 + 10i2 − 5i3 + 9 = 0

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###### Problem Details

What is the current through the 10 Ω resistor in the figure?  Express your answer to two significant figures and include the appropriate units.

Is the current from left to right or right to left?

a) left to right

b) right to left

What scientific concept do you need to know in order to solve this problem?

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.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Checkelsky's class at MIT.