With reference to the given figure, Fig.

Physics Alternating Current Mix MCQ (Single Correct)

With reference to the given figure,

Fig.

Fig. determine the value of capacitance C such that the total current of the circuit will be in phase with the total voltage;

calculate the reading of the ammeter and power dissipated in the circuit under the given condition.

Text Solution

Verified by Experts

The correct answer is:

CHECK THE SOLUTION.

Sol. Here Z 1 = 6.25 + j • 1.25

Z 2 = 5 + j • 0, Z 3 = 5 – jX C

Since Z 2 || Z 3 , ∴ Z 23 =

∴ Z 23 = = – j

Now Z = Z 1 + Z 23 = 6.25 + j × 1.25 + – j

= – j

Since total current of the circuit is in phase with the total voltage, therefore coefficient of j is zero [i.e., power factor should be unity].

∴ – = 0

or X C = 10 Ω

= = 10

C = = 318 µF

Substituting the value of X C , we get

Z = 10

∴ Current in the circuit = = 10 A

and power in the circuit = i 2 R = 1000 W

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.