Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Questions  >  Three equal resistors connected in series acr... Start Learning for Free
Three equal resistors connected in series across a source of emf together dissipate 10 watts of power. What would be the power dissipated in the same resistors when they are connected in parallel across the same source of emf ?
  • a)
    10 watts
  • b)
    30 watts
  • c)
    90 watts
  • d)
    270 watts
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Three equal resistors connected in series across a source of emf toget...
View all questions of this test
Most Upvoted Answer
Three equal resistors connected in series across a source of emf toget...
When three equal resistors are connected in series across a source of emf, the total resistance of the circuit, R_total, is equal to the sum of the individual resistances, R. Let's assume the resistance of each resistor is R.

1. Calculation of Total Resistance in Series:
In a series circuit, the total resistance is the sum of the individual resistances. Therefore,
R_total = R + R + R = 3R

2. Calculation of Power Dissipated in Series:
The power dissipated in a resistor can be calculated using the formula P = I^2 * R, where P is power, I is current, and R is resistance. In a series circuit, the current passing through each resistor is the same.

Given that the total power dissipated in the circuit is 10 watts, we can write the equation as:
10 = I^2 * 3R

3. Calculation of Power Dissipated in Parallel:
When the resistors are connected in parallel, the voltage across each resistor is the same, but the current divides among the resistors. Let's assume the current passing through each resistor is I_parallel, and the total current passing through the parallel combination is I_total.

Using Ohm's Law, we can write the equation for the total current:
I_total = V / R_total

Since the resistors are equal, we can write the equation for the current passing through each resistor in parallel:
I_parallel = I_total / 3

The power dissipated in each resistor can be calculated using the formula P = I^2 * R:
P_parallel = (I_parallel)^2 * R

Substituting the values of I_parallel and R, we get:
P_parallel = (I_total / 3)^2 * R

4. Calculation of Power Dissipated in Parallel:
To find the power dissipated in the parallel combination, we need to substitute the value of I_total from the equation of total current:
P_parallel = ((V / R_total) / 3)^2 * R

Simplifying the equation gives:
P_parallel = (V^2 / (9 * R)) * R

Using the formula for power in a series circuit, we know that P = I^2 * R. Since the total resistance in the parallel combination is R, we can write the equation as:
P_parallel = (V^2 / (9 * R)) * R = (V^2 / 9)

From the equation, it is clear that the power dissipated in the parallel combination is independent of resistance. Therefore, the power dissipated in the resistors when connected in parallel would be equal to the power dissipated in the series combination, which is 10 watts. Hence, the correct answer is option C - 90 watts.
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

Three equal resistors connected in series across a source of emf together dissipate 10 watts of power. What would be the power dissipated in the same resistors when they are connected in parallel across the same source of emf ?a)10 wattsb)30 wattsc)90 wattsd)270 wattsCorrect answer is option 'C'. Can you explain this answer?
Question Description
Three equal resistors connected in series across a source of emf together dissipate 10 watts of power. What would be the power dissipated in the same resistors when they are connected in parallel across the same source of emf ?a)10 wattsb)30 wattsc)90 wattsd)270 wattsCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Three equal resistors connected in series across a source of emf together dissipate 10 watts of power. What would be the power dissipated in the same resistors when they are connected in parallel across the same source of emf ?a)10 wattsb)30 wattsc)90 wattsd)270 wattsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three equal resistors connected in series across a source of emf together dissipate 10 watts of power. What would be the power dissipated in the same resistors when they are connected in parallel across the same source of emf ?a)10 wattsb)30 wattsc)90 wattsd)270 wattsCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Three equal resistors connected in series across a source of emf together dissipate 10 watts of power. What would be the power dissipated in the same resistors when they are connected in parallel across the same source of emf ?a)10 wattsb)30 wattsc)90 wattsd)270 wattsCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of Three equal resistors connected in series across a source of emf together dissipate 10 watts of power. What would be the power dissipated in the same resistors when they are connected in parallel across the same source of emf ?a)10 wattsb)30 wattsc)90 wattsd)270 wattsCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Three equal resistors connected in series across a source of emf together dissipate 10 watts of power. What would be the power dissipated in the same resistors when they are connected in parallel across the same source of emf ?a)10 wattsb)30 wattsc)90 wattsd)270 wattsCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Three equal resistors connected in series across a source of emf together dissipate 10 watts of power. What would be the power dissipated in the same resistors when they are connected in parallel across the same source of emf ?a)10 wattsb)30 wattsc)90 wattsd)270 wattsCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Three equal resistors connected in series across a source of emf together dissipate 10 watts of power. What would be the power dissipated in the same resistors when they are connected in parallel across the same source of emf ?a)10 wattsb)30 wattsc)90 wattsd)270 wattsCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Three equal resistors connected in series across a source of emf together dissipate 10 watts of power. What would be the power dissipated in the same resistors when they are connected in parallel across the same source of emf ?a)10 wattsb)30 wattsc)90 wattsd)270 wattsCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
Explore Courses for Electrical Engineering (EE) exam

Top Courses for Electrical Engineering (EE)

Explore Courses
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