Physics, asked by sp344583, 3 months ago

3. For the electric circuit given below calculate:
R1 = 5 ohm
R2 = 10 ohm
R3 = 30 ohm
battery 12V
() Equivalent resistance of the Circuit
(ii) Current in each resistor
(iii) Total current drawn from the battery

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Answers

Answered by SweetLily

Given

$\mathtt{ \bull R_1= 5 Ω} \\ \mathtt{\bull R_2= 10 Ω }\\ \mathtt{ \bull R_3= 30Ω }\\ \mathtt{\bull Volt = 12 V}$

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To find

Equivalent resistance of the Circuit
Current in each resistor
Total current drawn from the battery

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Concept used

⚘Here the concept of Ohm's Law is used. 3 resistors are arranged in parallel arrangement. The voltage is given. We can find the total current and current in individual series by V=IR.

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Solution

Equivalent resistance of the circuit

➶Equivalent resistance in parallel is given as

$\sf{\dfrac{1}{R_eq}= \dfrac{1}{R_1}+ \dfrac{1}{R_2}+ \dfrac{1}{R_3}....+ \dfrac{1}{R_n}}$

substitute the values

$\sf{\frac{1}{R_eq}= \frac{1}{5}+ \frac{1}{10}+ \frac{1}{30}}$

$\sf{\frac{1}{R_eq}= \frac{6+3+1}{30}}$

$\sf{\frac{1}{R_eq}= \frac{10}{30}}$

$\sf{\frac{1}{R_eq}= \frac{1}{3}}$

$\bold{ \red{R_eq= 3Ω}}$

so the equivalent resistance is the circuit is 3Ω

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Current in each resistor

➶Using V=IR [ohm's Law]

We know that the voltage in the parallel arrangement is same and voltage in series arrangement is different. so we will take same voltage throughout the calculations.

$\sf{ \implies current \: in \: resistor = \dfrac{V}{R}}$