The ratio of the effective resistance between the terminals A and B of the given circuit with key K1 open and then k , closed is given by .
Answers
Answer:
2:1
Explanation:
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Given - Resistance in particular arrangement in diagram.
Find - Ratio of effective resistance when key is open and closed respectively.
Solution - When key is open, the resistance in the circuit will be only three. The ones namely 6 ohm, 12 ohm and 6 ohm.
Since they are connected in series, the total resistance will be - 6+12+6 - 24 ohm.
When the key is closed, all the present resistance will be part of circuit. The two 6 ohm resistors are in series, hence the total resistance will be 12 ohm.
Now, the two 12 ohm are in parallel therefore, new resistance will be 12/2 - 6 ohm.
Final total resistance will be - 6 +6+6 - 18 ohm.
The ratio of effective resistance when key is open to close is - 24:18 = 4:3
Hence, the ratio will be 4:3.