Intext example IX — task. Science CBSE, Class 10.

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If in figure, $R_{1}$ $=$ $10$

$Ω$ , $R_{2}$ $=$ $40$

$Ω$ , $R_{3}$ $=$ $30$

$Ω$ , $R_{4}$ $=$ $20$

$Ω$ , $R_{5}$ $=$ $60$

$Ω$ , and a $12\ V$ battery is connected to the arrangement.

Calculate

a. the total resistance in the circuit, and
b. the total current flowing in the circuit.

Circuit diagram

[Note: Enter the current value up to two decimal places.]

Suppose we replace the parallel resistors

$R_{1}$ and

$R_{2}$ by an equivalent resistor of resistance,

$R'$ . Similarly we replace the parallel resistors

$R_{3}$ ,

$R_{4}$ and

$R_{5}$ by an equivalent single resistor of resistance

$R"$ . Then,

$\begin{array}{l} \frac{1}{R^{'}} = \frac{i}{i} \\ R^{'} = i Ω \end{array}$

Similarly,

$\begin{array}{l} \frac{1}{R^{″}} = \frac{i}{i} \\ R^{″} = i Ω \end{array}$

Thus, the total resistance is

$Ω$

By Ohm's law, the current formula is

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

The current flowing in the circuit is

$A$

Did you find an error?

28. Intext example IX