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Circuit solver (Kirchhoff's laws)

Describe a circuit part by part and get the current through and potential difference across every part, worked out with Kirchhoff’s laws - cells with internal resistance, resistors, capacitors, galvanometers and Wheatstone bridges - and the equivalent resistance between any two points.

Each line: a name (R1 resistor, E1 cell, C1 capacitor, G1 galvanometer, A1 ammeter, W1 wire), the two points it joins (any labels: A, B, 0...), and its value (4ohm, 12V, 2uF). A cell’s + end is its first point; add r=0.5ohm for internal resistance. Adding right, left, up or down draws the circuit too.

Try: cell with internal resistanceseries and paralleltwo cells (Kirchhoff)Wheatstone bridgecapacitors in series

Currents and potential differences

PartWhatBetweenCurrent (A)p.d. (V)Power (W)
E1cellA – 02.66710.6732
R1resistorA – B2.66710.6728.44
W1wireB – 02.6670

Worked out with Kirchhoff’s laws: the currents into each junction add up to zero, and so do the p.d.s round each loop.

The circuit

E112 V, r = 0.5 ΩR14 ΩAB

Potential at each point (point 0 at 0 V)

PointPotential (V)
00
A10.67
B0

Practise on real ISC questions

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