How Do You Correctly Calculate Vk in a Basic Circuit Using KVL?

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SUMMARY

The discussion focuses on calculating the voltage Vk in a basic circuit using Kirchhoff's Voltage Law (KVL). The user initially assumes Vk is dependent on the current i, expressed as Vk = 12i. After setting up the equation -60 + 4i + 12i + 12i = 0, the user calculates the current i to be 2.14, leading to an incorrect Vk value of 25.68. The correct answer is identified as 18, indicating an error in the user's approach to the circuit analysis.

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J.live
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Homework Statement



Find the value of Vk

http://oi54.tinypic.com/2s6x005.jpg

Homework Equations


The Attempt at a Solution


Assuming dependent Vk = 12i

-60 + 4i + 12i + 12i = 0

-60 + 28i = 0

i = 2.14

Vk = 12 * 2.14 = 25 .68 ?

Answer is 18. Can someone tell me where I am going wrong ?
 
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Your calculations are correct.
 

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