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In the circuit diagram given in figure, suppose the resistors \(R_1\), \(R_2\) and \(R_3\) have the values \(5\ Ω\), \(10\ Ω\), \(30\ Ω\), respectively, which have been connected to a battery of \(12\ V\).
Circuit diagram
Calculate
a. The current through each resistor
b. The total current in the circuit, and
c. The total circuit resistance
b. The total current in the circuit, and
c. The total circuit resistance
a. Since the resistors are connected in parallel, the potential difference across each resistor is same (i.e. \(V = 12V\)). Therefore, the current through each resistor is calculated by the formula
Current through \(R_1\) \(=\) \(A\)
Current through \(R_2\) \(=\) \(A\)
Current through \(R_3\) \(=\) \(A\)
b.Total current in the circuit,
On substituting the known current values, we get \(A\).
c.Total resistance in the circuit,
On substituting the known values, we get
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