What is the total resistance of 10Ω, 20Ω, and 25Ω resistors connected in parallel?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Prepare for the Biomedical Equipment Technician CDC Set A Volume 3 Exam with multiple choice questions and insightful explanations. Boost your confidence and knowledge, and get ready for your test!

Multiple Choice

What is the total resistance of 10Ω, 20Ω, and 25Ω resistors connected in parallel?

Explanation:
To find the total resistance of resistors connected in parallel, you use the formula for total resistance, \( R_t \), which is given by: \[ \frac{1}{R_t} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} \] In this instance, the resistors are 10Ω, 20Ω, and 25Ω. Applying the formula will look as follows: 1. First, calculate the reciprocals of each resistance: - For the 10Ω resistor: \( \frac{1}{10} = 0.1 \) - For the 20Ω resistor: \( \frac{1}{20} = 0.05 \) - For the 25Ω resistor: \( \frac{1}{25} = 0.04 \) 2. Next, sum the reciprocals: \[ \frac{1}{R_t} = 0.1 + 0.05 + 0.04 = 0.19 \] 3. Now, take the reciprocal of 0.19 to find the total resistance: \

To find the total resistance of resistors connected in parallel, you use the formula for total resistance, ( R_t ), which is given by:

[

\frac{1}{R_t} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}

]

In this instance, the resistors are 10Ω, 20Ω, and 25Ω. Applying the formula will look as follows:

  1. First, calculate the reciprocals of each resistance:

  • For the 10Ω resistor: ( \frac{1}{10} = 0.1 )

  • For the 20Ω resistor: ( \frac{1}{20} = 0.05 )

  • For the 25Ω resistor: ( \frac{1}{25} = 0.04 )

  1. Next, sum the reciprocals:

[

\frac{1}{R_t} = 0.1 + 0.05 + 0.04 = 0.19

]

  1. Now, take the reciprocal of 0.19 to find the total resistance:

\

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy