Another problem with kirchhoff's law and parallel cells

[alexburns1991]

Homework Statement

Using kirchhoff's laws, calculate the current in the 2 ohm resistor.
Picture of the circuit attached.

Homework Equations

kirchhoff's laws, and ohms law

The Attempt at a Solution

i3 = i1 - i2

then i used kirchhoff's law to get:
2 - i1 = 2.i2
and
1 - 2 ( i1 - i2 ) + 2.i2 = 0 [i added the value because the direction of the "potential walk" is opposite to the current through the resistor]

using these, i obtained a value of 0.375A as the current i2, but the book says that the answer is 0.42A, have i made a mistake, or is the book wrong [again!]?

 

[ehild]

Your solution is correct.

ehild

 

[tomcue]

I would first check my calculations to ensure that I did not make any mistakes. I would also double-check the circuit diagram to make sure that all components are labeled correctly and that my calculations are based on the correct values. If I am confident that my calculations are correct, I would then consider the possibility that there may be some error in the book's answer. I would suggest trying to solve the problem using different methods or asking a colleague to double-check the solution. If the discrepancy is still present, it may be worth reaching out to the author or publisher of the book for clarification. It is also important to keep in mind that in real-world scenarios, there may be slight variations in values due to factors such as resistance in wires or imperfect components.