Solved Problems II — task. Science State Board, Class 10.

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In the circuit diagram given below, three resistors $R_1$ , $R_2$ and $R_3$ of $5\ Ω$ , $10\ Ω$ and $20\ Ω$ , respectively are connected as shown.

Circuit diagram

Calculate,

(a) Current through each resistor
(b) Total current in the circuit
(c) Total resistance in the circuit

(a) Since the resistors are connected in parallel, the potential difference across each resistor is same (i.e.

$V = 10V$ ). Therefore, the current through each resistor is calculated by the formula,

$i = \frac{i}{i}$

Current through

$R_1$

$=$

$A$

Current through

$R_2$

$=$

$A$

Current through

$R_3$

$=$

$A$

(b) Total current in the circuit,

$i = i_{i} + i_{i} + i_{i}$

On substituting the known current values, we get

$=$

$A$

(c) Total resistance in the circuit,

$\frac{1}{R_{P}} = \frac{1}{R_{i}} + \frac{1}{R_{i}} + \frac{1}{R_{i}}$

On substituting the known values, we get

$\begin{array}{l} \frac{1}{R_{P}} = \frac{i}{i} \\ R_{P} = \frac{i}{i} \end{array}$

$=$

$Ω$

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22. Solved Problems II

Exercise condition: