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Question 31

A 2 V battery is connected across AB as shown in the figure. The value of the current supplied by the battery when in first case battery's positive terminal is connected to A and in second case when positive terminal of battery is connected to B will respectively be:

1. Positive terminal connected to A

Terminal A is at $$+2\text{V}$$ and Terminal B is at $$0\text{V}$$

$$D_1$$: The $$P$$-side is connected toward A. It is forward biased (ON).

$$D_2$$: The $$N$$-side is connected toward A. It is reverse biased (OFF).

Current flows only through the top branch ($$5\ \Omega$$ resistor). The middle branch is an open circuit.

$$I_1 = \frac{V}{R_1} = \frac{2\text{ V}}{5\ \Omega} = 0.4\text{ A}$$

2. Positive terminal connected to B

Terminal B is at $$+2\text{V}$$ and Terminal A is at $$0\text{V}$$

$$D_1$$: The $$N$$-side is connected toward B. It is reverse biased (OFF).

$$D_2$$: The $$P$$-side is connected toward B. It is forward biased (ON).

Current flows only through the middle branch ($$10\ \Omega$$ resistor). The top branch is an open circuit.

$$I_2 = \frac{V}{R_2} = \frac{2\text{ V}}{10\ \Omega} = 0.2\text{ A}$$

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