Class 12 Exam  >  Class 12 Questions  >  A set up is such that there are three similar... Start Learning for Free
A set up is such that there are three similar resistors, each of 20 ohms resistance. Two of them are connected in parallel, and this combination is connected in series with the third one. The maximum power that can be consumed by each resistor is 30 W. Then, what is the maximum power that can be consumed by the combination of all three resistors?
  • a)
    30
  • b)
    20
  • c)
    35
  • d)
    45
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A set up is such that there are three similar resistors, each of 20 oh...
Given:
Three similar resistors of 20 ohms resistance.
Two of them are connected in parallel and this combination is connected in series with the third one.
Maximum power that can be consumed by each resistor is 30 W.

To find: Maximum power that can be consumed by the combination of all three resistors.

Solution:
Let's first calculate the equivalent resistance of the two resistors connected in parallel.
Using the formula:
1/Req = 1/R1 + 1/R2
where R1 = R2 = 20 ohms

1/Req = 1/20 + 1/20
1/Req = 1/10
Req = 10 ohms

Now, the equivalent resistance of the two resistors in parallel is 10 ohms.
Let's calculate the total resistance of the circuit.
The two resistors in parallel and the third resistor in series are connected as follows:
-|----|----|-
| R1 | R2 |
-|----|----|-
|
R3
-|--------|-

The total resistance (Rtotal) can be calculated as:
Rtotal = Req + R3
Rtotal = 10 + 20
Rtotal = 30 ohms

The maximum power that can be consumed by each resistor is given as 30 W.
Since all three resistors are identical, they can consume the same amount of power.
So, the maximum power that can be consumed by the combination of all three resistors is:
Ptotal = P1 + P2 + P3
Ptotal = 30 + 30 + 30
Ptotal = 90 W

Therefore, the maximum power that can be consumed by the combination of all three resistors is 90 W, which is option (d).
Free Test
Community Answer
A set up is such that there are three similar resistors, each of 20 oh...
The equivalent overall resistance of the parallel combination is:

R1 is in series with R2; So, R3 = R1 + R2 = 10 + 20 = 30 ohms.
Now, we can employ the method of cross-multiplication:
For 20 ohms resistor → 30 W power consumed
For 30 ohms resistor combination → x
20x = 30 × 30
x = (30 × 30)/20
x = 45
Therefore, the power consumed by the parallel combination is 45 ohms.
Explore Courses for Class 12 exam

Similar Class 12 Doubts

Read the following text and answer the following questions on the basis of the same:Types of resistors Most common type of resistor is Carbon Composition Resistors. Carbon resistors are a cheap, general purpose resistor used in electrical and electronic circuits. Their resistive element is manufactured from a mixture of finely ground carbon dust or graphite and a non-conducting ceramic powder to bind it all together. The ratio of carbon dust to ceramic (conductor to insulator) determines the resistive value of the resistor. Higher the ratio of carbon, lower the overall resistance. Film Type Resistors consist of Metal Film, Carbon Film and Metal Oxide Film .Such resistors are generally made by depositing pure metals, such as nickel, or an oxide film, such as tin-oxide, on an insulating ceramic rod or substrate. The resistive value of the resistor is controlled by increasing the desired thickness of the deposited film giving them the names of either “thick-film resistors” or “thin-film resistors”. Film type resistors can achieve much higher ohmic value compared to other types. Another type of resistor, called a Wirewound Resistor, is made by winding a thin metal alloy wire (Nichrom e) or similar wire on an insulating ceramic former in the form of a spiral helix. These types of resistors are generally only available in very low ohmic value with high precision . They are able to handle much higher electrical currents than other resistors of the same ohmic value with much excessive power ratings. These high power resistors are moulded into an aluminium heat sink body with fins attached to increase their overall surface area to promote heat loss and cooling.In carbon composition resistors, ______ the ratio of carbon, _____ the overall resistance.

A set up is such that there are three similar resistors, each of 20 ohms resistance. Two of them are connected in parallel, and this combination is connected in series with the third one. The maximum power that can be consumed by each resistor is 30 W. Then, what is the maximum power that can be consumed by the combination of all three resistors?a)30b)20c)35d)45Correct answer is option 'D'. Can you explain this answer?
Question Description
A set up is such that there are three similar resistors, each of 20 ohms resistance. Two of them are connected in parallel, and this combination is connected in series with the third one. The maximum power that can be consumed by each resistor is 30 W. Then, what is the maximum power that can be consumed by the combination of all three resistors?a)30b)20c)35d)45Correct answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A set up is such that there are three similar resistors, each of 20 ohms resistance. Two of them are connected in parallel, and this combination is connected in series with the third one. The maximum power that can be consumed by each resistor is 30 W. Then, what is the maximum power that can be consumed by the combination of all three resistors?a)30b)20c)35d)45Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A set up is such that there are three similar resistors, each of 20 ohms resistance. Two of them are connected in parallel, and this combination is connected in series with the third one. The maximum power that can be consumed by each resistor is 30 W. Then, what is the maximum power that can be consumed by the combination of all three resistors?a)30b)20c)35d)45Correct answer is option 'D'. Can you explain this answer?.
Solutions for A set up is such that there are three similar resistors, each of 20 ohms resistance. Two of them are connected in parallel, and this combination is connected in series with the third one. The maximum power that can be consumed by each resistor is 30 W. Then, what is the maximum power that can be consumed by the combination of all three resistors?a)30b)20c)35d)45Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of A set up is such that there are three similar resistors, each of 20 ohms resistance. Two of them are connected in parallel, and this combination is connected in series with the third one. The maximum power that can be consumed by each resistor is 30 W. Then, what is the maximum power that can be consumed by the combination of all three resistors?a)30b)20c)35d)45Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A set up is such that there are three similar resistors, each of 20 ohms resistance. Two of them are connected in parallel, and this combination is connected in series with the third one. The maximum power that can be consumed by each resistor is 30 W. Then, what is the maximum power that can be consumed by the combination of all three resistors?a)30b)20c)35d)45Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A set up is such that there are three similar resistors, each of 20 ohms resistance. Two of them are connected in parallel, and this combination is connected in series with the third one. The maximum power that can be consumed by each resistor is 30 W. Then, what is the maximum power that can be consumed by the combination of all three resistors?a)30b)20c)35d)45Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A set up is such that there are three similar resistors, each of 20 ohms resistance. Two of them are connected in parallel, and this combination is connected in series with the third one. The maximum power that can be consumed by each resistor is 30 W. Then, what is the maximum power that can be consumed by the combination of all three resistors?a)30b)20c)35d)45Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A set up is such that there are three similar resistors, each of 20 ohms resistance. Two of them are connected in parallel, and this combination is connected in series with the third one. The maximum power that can be consumed by each resistor is 30 W. Then, what is the maximum power that can be consumed by the combination of all three resistors?a)30b)20c)35d)45Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 12 tests.
Explore Courses for Class 12 exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev