Network Elements and the Concept of Circuit
Direction: Fig. shows the statement for given question.

- Current i at time t = 4 sec will be—
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At t = 4 sec
sources 30 u (t + 1) → exist and equals to 30 V 2 u (1 – t) → does not exist and equals to 0 amp Now, we will draw the equivalent circuit under this situation.The current I = 30 = 3 amp. 10 Correct Option: B
At t = 4 sec
sources 30 u (t + 1) → exist and equals to 30 V 2 u (1 – t) → does not exist and equals to 0 amp Now, we will draw the equivalent circuit under this situation.The current I = 30 = 3 amp. 10
- Current i at t = 0.5 sec will be—
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At t = 0.5 sec
30 u (t + 1) → exist and equal to 30 V
2 u (1 – t) → exist and equal to 2 amp.
Now, we will draw the equivalent circuit under this situation we get this situation is same as the above question so,
I = 5 amp.Correct Option: A
At t = 0.5 sec
30 u (t + 1) → exist and equal to 30 V
2 u (1 – t) → exist and equal to 2 amp.
Now, we will draw the equivalent circuit under this situation we get this situation is same as the above question so,
I = 5 amp.
- Current i at t = – 0.5 sec will be—
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At t = – 0.5 sec
source 30 u (t + 1) → exist and equal to 30V.
2 u (1 – t) → exist and equal to 2 amp.
Now, we will draw the equivalent circuit under this situation, we get
By applying source transformation theorem, we get
Now apply KVL to the loop, we get
30 + 20 – 10 I = 0I = 50 = 5 amp. 10 Correct Option: C
At t = – 0.5 sec
source 30 u (t + 1) → exist and equal to 30V.
2 u (1 – t) → exist and equal to 2 amp.
Now, we will draw the equivalent circuit under this situation, we get
By applying source transformation theorem, we get
Now apply KVL to the loop, we get
30 + 20 – 10 I = 0I = 50 = 5 amp. 10
- Find the current i at time t = – 2 sec—
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At t = – 2 sec
source 30 u (t + 1) → does not exist and equal to 0 V 2 u (1 – t) → exist, and equal to 2 amp the equivalent circuit becomes
Now, apply superposition theorem, we conclude that only 20 V source is responsible for current I.So, I = 20 = 2 amp 10 Correct Option: A
At t = – 2 sec
source 30 u (t + 1) → does not exist and equal to 0 V 2 u (1 – t) → exist, and equal to 2 amp the equivalent circuit becomes
Now, apply superposition theorem, we conclude that only 20 V source is responsible for current I.So, I = 20 = 2 amp 10
- The maximum energy in the given circuit will be—
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Maximum energy in the circuit = 1 Li 2 2 = 1 x 3 x 12 sin πt 6 2 6 = 144 x 3 sin2 πt 2 6 Emax. = 144 x 3 = 216 joule 2 Correct Option: C
Maximum energy in the circuit = 1 Li 2 2 = 1 x 3 x 12 sin πt 6 2 6 = 144 x 3 sin2 πt 2 6 Emax. = 144 x 3 = 216 joule 2