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Working with resistor networks - terminal voltages and curre

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Determine the voltage drop across each of the resistors given in the network (See figure). Also determine the unknown resistance R.

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The resistances 5K and 10 K are parallel, the effective resistance is given by ,

[R1 R2/(R1+R2)] = 5x10/5+10 = 3.33 K Ohm

Since the current through the network is given, we can write (using, V/I = R)

1000/100x10^-3 = 3K + 3.33K + R

From this, R = 10000 - 6.33 ...

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