Society & Culture1 min ago

# Resistors And Battery Diagram Poser

25 Answers

The son of our next door neighbour is doing HND in Electrical and Electronic Engineering and requires some assistance.

He has asked me to help but it's a little beyond me. I told him that I'm sure someone on AB can give him a pointer if not how to arrive at the answer :-)

The question is to find the current through the 5 ohm resistor and the voltage across the top of the 2 ohm resistor and the bottom of the 20 V battery. He does have the answers but needs a method to solve the problem!! See link below:

https://ibb.co/ggqzkhF

He has asked me to help but it's a little beyond me. I told him that I'm sure someone on AB can give him a pointer if not how to arrive at the answer :-)

The question is to find the current through the 5 ohm resistor and the voltage across the top of the 2 ohm resistor and the bottom of the 20 V battery. He does have the answers but needs a method to solve the problem!! See link below:

https:/

# Answers

Firstly look upon the 25 V d.c supply as a battery charger trying to charge the 2 batteries. Let current through 3Ω resistor be the sum of the currents i2 and i3 which flow in the 20 V battery and 15 V battery branches respectively. Note, Kirchhoff's loops are clockwise, voltage drops and EMFs will be treated as negative if in the clockwise direction. Current in...

18:34 Wed 01st Mar 2023

I = --

R.....................................................................................................

I ....................................................................................................

V = --

R ...................................................................................................

V ..................................................................................................

R = --

I ....................................................................................................

https:/

To solve the problem, arbitrarily assign current values through each of the circuit current paths (the direction is somewhat unimportant as the result + or – will indicate the actual current flow direction).

If the current through the 3R resistor is assigned i1 (heading east), and the current through the 2R resistor (heading north) i2, then current through the 5R resistor (heading east) will be i1 + i2.

Then using Ohms law (based on the voltages differences and resistances) create equations (using the above assigned currents) for the potential different paths in the circuit, and then solve the equations by substitution to find the currents (i1 & i2).

Once the currents are known, the voltages at all points in the circuit can be found by Ohms law.

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