Determine potential difference across resistor, Electrical Engineering

Determine Potential Difference:

Compute the current through each element of the given network and also determine potential difference across 15 Ω resistor.

738_Determine Potential Difference.png

Figure

Solution

The circuit may be reduced in the following form :

Figure

Total current i in the circuit is achieved by

 i = V/ R = 100 /(5 + 10 + 6) = 100 /21= 4.76 Amp

So the current through 5 Ω and 10 Ω resistor shall be i = 4.76 Amp.

Now, current through 10 Ω resistor in parallel branch is find out by current division rule :

i1 = i × (r2 / (r1 + r2))

= 4.76 × (15 / (10 + 15)) = 2.85 Amp

Likewise, current through 15 Ω resistor is

i2  = i × (10 / (r1 + r2))

= 4.76 × (10 /(10 + 15))

= 1.9 Amp

∴Potential difference across 15 Ω resistor shall be

 V = i2  × 15= 1.9 × 15 = 28.5 volts

Posted Date: 2/4/2013 4:19:09 AM | Location : United States







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