What is the Resistance and Current in the Circuit?

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The discussion focuses on calculating current and resistance in a circuit using Kirchhoff's laws. The current in resistor R is determined to be 2A using Kirchhoff's Current Law (KCL). The resistance R is confirmed to be 5 ohms through Kirchhoff's Voltage Law (KVL), with a voltage of 42V derived from the bottom loop analysis. When the circuit is broken at point x, the equivalent resistance of 8 ohms leads to a current of 3.5A through the series configuration of resistors.

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n the circuit shown in the figure find (a) the current in resistor R, (b) the resistance R, (c) the unknown emf, (d) f the circuit is broken at point x , what is the current in resistor R?

YF-26-21.jpg


A) 2A using KCL
B)
C) 42V using KVL ofthe bottom loop
D)

For B, is the resistor 5 ohms? I'm not sure if I wrote my KVL correctly since the notation is different from my Electrical Engineering class but I wrote a KVL at the top loop, starting from the node to the left of the 28V voltage source, going clockwise so

-28-(-2A)R - 24V + 42V = 0

R = 5 ohms? I used -2A because I was going the opposite direction of the regular current.

That would mean for part D, the circuit simplifies to the loop of 28V-5 ohms-3ohms.

5 and 3 are in series so their equivalent resistance is 8. Then using V=IR, I is 28V/8 ohms
 
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Yes, 5 ohm.
D: ok
 

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