Question
Download Solution PDFAn electric current of 10 A is divided into three branches named branch1, branch2 and branch3, respectively, the lengths of the wires in the three branches being proportional to 1, 2 and 4. If wires of the same material and cross-section are used, what are the values of the currents in branch1, branch2 and branch3, respectively?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
By Ohm's Law:
V = I × R
In parallel, the voltage remains constant.
Since the resistance is proportional to the length (R α l)
∴
where, I = Current
R = Resistance
l = Length
Calculation
The equivalent resistance for the circuit is:
The voltage (V) is given by:
V = 10 × 0.571 = 5.71 volts
In parallel, the voltage remains the same.
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