Determine current in 3 ohm resistance and potential
difference between A and
B in the adjoining circuit Diagram
Answers
Answer:
see the attachment please
Explanation:
Hope the answer will help you
The current in 3-ohm resistance is 1 A
The potential difference between A and B is 2 V.
Given: A circuit diagram.
To Find: The current in 3-ohm resistance and the potential difference between A and B.
Solution:
- We know that for two voltage sources in the same direction ( positive facing positive or negative facing negative), the resultant voltage will be the difference between both the voltage sources.
- We also know that if resistors are in series connection, then the same current will remain constant, that is the same current will flow through all of them.
- We know that in a parallel connection, the voltage remains constant and so the voltage across resistors in a parallel connection is always constant.
Coming to the numerical,
According to the first bullet point, the resultant voltage will be,
The resultant voltage = 5 V - 2 V
= 3 V
Since the 3-ohm resistor is in a series connection so the current is constant,
Current in 3 ohm resistor = 3 V / 3
= 1 A
Now, we can observe that the 2-ohm resistor is in parallel to the 2 V voltage source. Hence, we can understand that the voltage between A and B points will be the same as the voltage across the resistor, as per the third bullet point.
So, the resistance across A and B = 2 V
Hence, the current in 3-ohm resistance is 1 A
The potential difference between A and B is 2 V.
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