SATHEE: Current Electricity 2 Question 5

Current Electricity 2 Question 5

5. In the circuit shown, the potential difference between $A$ and $B$ is

(2019 Main, 11 Jan II)

(a) $3 V$

(b) $1 V$

(d) $2 V$

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Solution:

In the given circuit, let’s assume currents in the arms are $i_{1}, i_{2}$ and $i_{3}$ , respectively.

Now, $i_{1} = \frac{V_{1}}{R_{1}} = \frac{1}{1} = 1 A$

Similarly, $i_{2} = \frac{2}{1} = 2 A$

and $i_{3} = \frac{3}{1} = 3 A$

Total current in the $arm D A$ is

$i = i_{1} + i_{2} + i_{3} = 6 A$

As all three resistors between $D$ and $C$ are in parallel.

$∴$ Equivalent resistance between terminals $D$ and $C$ is

$\begin{aligned} \frac{1}{R_{D C}} & = \frac{1}{1} + \frac{1}{1} + \frac{1}{1} \\ ∴ & R_{D C} & = \frac{1}{3} Ω \end{aligned}$

So, potential difference across $D$ and $C$ is

$\begin{array}{lll} V_{D C} = i R_{D C} = 6 \times \frac{1}{3} \\ \Rightarrow & V_{D C} = 2 V \\ Now, & V_{A D} and V_{C B} = 0 \end{array}$

(In case of open circuits, $I = 0$ )

So, $V_{A B} = V_{A D} + V_{D C} + V_{C B} = V_{D C}$

So, $V_{A B} = 2 V$

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Current Electricity 2 Question 5

5. In the circuit shown, the potential difference between $A$ and $B$ is

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Current Electricity 2 Question 5

5. In the circuit shown, the potential difference between A and B is

Solution:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

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5. In the circuit shown, the potential difference between $A$ and $B$ is