General Circuit Problem

Electricity and Magnetism Level 3

If all resistance are indentical to $4\ \Omega$ and all identical batteries have an emf of $10V$ . Let the current through blue and green arrow be $i_{B}A$ and $i_{G}A$ respectively.

Evaluate: $i_{B}-i_{G}$

The answer is 6.

1 solution

Steven Chase
Apr 10, 2020

Nice problem. The important potentials are shown in red (along with the paths used to derive them), and the currents are shown in their respective colors. $i_B = 10$ and $i_G = 4$ .

What is the net resistance?

Atin Gupta - 4 months ago

I don't know. It is not necessary to find the net resistance of the whole circuit

Steven Chase - 4 months ago

Just for checking my calculations, can you find the net resistance

Atin Gupta - 4 months ago

@Atin Gupta – I don’t think “net resistance” has any meaning for a circuit like this. Between what two points would you want the equivalent. resistance?

Scott Wiley - 3 months, 2 weeks ago

@Scott Wiley – And even then, the Thevenin equivalent would be a voltage source in series with a resistance.

Steven Chase - 3 months, 2 weeks ago

@Steven Chase – I agree @Steven Chase . Even Thevenin requires some “vantage” points to view the circuit from (if I recall correctly from my college days 40 years ago!). I suppose if you had one component to find the current through, a Thevenin equivalent of the rest of the circuit could make some sense, but ...

If anything, this problem serves as a nice review of Kirchoff’s loop rule.

Scott Wiley - 3 months, 2 weeks ago

General Circuit Problem

The answer is 6.

1 solution

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