Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
376 views
in Physics by (66.5k points)
closed by
Calculate the equivalent resistance when two resistances of 3 ohms and 6 ohms are connected in parallel.

1 Answer

0 votes
by (67.7k points)
selected by
 
Best answer
Here we have two resistances of 3 ohms and 6 ohms which are connected in parallel. This arrangement is shown in Figure given below. Now, we want to find out their equivalent resistance or resultant resistance. We know that when two resistance `R_(1)` and `R_(2)` are connected in parallel, then their equivalent resistance R is given by:
`(1)/(R) = (1)/(R_(1))+(1)/(R_(2))`
Here, `r_(1) = 3` ohms
and, `R_(2) = 6` ohms
So, `(1)/(R) = (1)/(3)+(1)/(6)`
image
or `(1)/(R) = (2+1)/(6)`
or `(1)/(R) = (3)/(6)`
or `(1)/(R) = (1)/(2)`
and `R = 2 Omega`
Thus, the equivalent resistance is 2 ohms.
So far we have studied the combination of resistances in series and parallel separately. Many times, however, the practical electrical circuits involve the combination of resistances in series as well as in parallel in the same circuit. We will now solve a problem in which the resistance are connected in series as well as in parallel in the same circuit.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...