Confused about Kirchhoff's law and Ohm's law.
I couldn't post pictures so I tried to write the circuit.
*Circuit*
Imagine a circuit with two separate battery branches that merge at a junction, pass through a shared resistor, and then split back up to return to their respective batteries:
Branch 1: A 10V battery connected to a 100 ohm resistor
Branch 2: A 30V battery connected to a 150 ohm resistor.
The Junction: Both branches meet at a single point.
The Shared Path: The combined current passes through a 200 ohm resistor.
The Return Spilt: The current splits back into two parts to return to the negative terminals of the original batteries.
*My Confusion:*
According to ohm's law the first branch should produce a current of 10V/100ohm= 0.1A. the second branch should produce 30 V/150ohm= 0.2A.
According to Kirchhoff's Current Law, the current entering the junction must be equal to the current leaving it that is I1 + I2 equals to I3. So if 0.1 ampere and 0.2 A enter the junction 0.3 A must pass through the 200 ohm resistor.
However if 0.3A passes through a 200 ohm resistor the voltage would be 0.3 A x 200 ohm = 60V. But Kirchhoff's law says it should be 13.85V. I do not understand why both of them will not be the same. Because if we take a circuit and pass through 0.3 ampere of current to 200 ohm of resistance we will get 60 volt but when we take two branches and make them meet it will suddenly become 13.85 volt. It sounds impossible for me. I don't understand.
I'm a beginner student so pls be patient and use easier words 🙏🏻