In the given circuit, calculate: 2 i) Net resistance of the circuit
ii) Current through 3Ω resistor.
Answers
Answer:
THEORY :-
Series combination of resistance ( diagram (a) )
When resistors are arranged in such a way that the ending of the first resistor are connected to the starting point if the second resistor. (please see the diagram ( a) )
In such a case, equivalent resistance of a combination of resistances equals
Req = R1 + R2 + R3...........
The current through any two resistors in series us always same.However, there may be voltage difference across them
parallel combination of resistance
When resistors are arranged in such a way that the are connected across the same point. ( see tha diagram b )
In such a case,
The voltage difference across any two resistor in parallel is always same.
SOLUTIONS
We have ,
2 ohm and 3 ohm resistors are in series .
Req = 2 + 3 = 5.
Now, this will be parallel to 5 ohm resistor. Hence, we get two 5 ohm resistor in parallel.
Req = 5 /2.
(i) Hence, net resistance of the circuit is 5 ohm.
(ii) a . When key K1 will be closed, no current will pass through 5 ohm resistor , hence V = 5 I = 0. Hence, voltage difference will be 0.
(ii) b. When key K2 is closed, no current will pass through 2 and 3 ohm resistors, hence, all current will pass through 5 ohm.Hence, V across 5 ohm = 6 V = V across battery = reading of voltmeter.
(iii) Net current in the circuit = V/Req = 6/2.5 = 2.4
Now, this will distribute into two resistors of 5 ohm and 5 ohm.They both will get 2.4/2 = 1.2 A.
Now, 2 ohm and 3 ohm are in Series, Hence, current flowing through them will be equal and will be 1.2 A.
Explanation:
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Answer:
Current through 3ω resistor
I
1
=
3
12
=4A
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