Two resistance are in the ratio 1:4. if these are connected in parallel, their total resistance becomes 20 ohm. Find the value of each resistance
Text Solution
AI Generated Solution
To solve the problem, we need to find the values of two resistances, R1 and R2, given that their ratio is 1:4 and their total resistance when connected in parallel is 20 ohms.
### Step-by-Step Solution:
1. **Define the resistances based on the ratio**:
Since the ratio of the two resistances R1 and R2 is 1:4, we can express them as:
\[
R1 = x \quad \text{and} \quad R2 = 4x
...
Topper's Solved these Questions
CURRENT ELECTRICITY
PRADEEP|Exercise Conceptual Problems|3 Videos
CURRENT ELECTRICITY
PRADEEP|Exercise Very short Q/A|7 Videos
COMMUNICATION SYSTEMS
PRADEEP|Exercise MODEL TEST PAPER-2|9 Videos
DUAL NATURE OF RADIATION AND MATTER
PRADEEP|Exercise Exercise|191 Videos
Similar Questions
Explore conceptually related problems
If 3 resistances of 3 ohm each are connected in parallel, what will be their total resistance?
Two resistances when connected in parallel give resultant value of 2 ohm, when connected in series the value becomes 9 ohm. Calculate the value of each resistance.
The resultant resistance of n wires each of resistance r ohms is R ,when they are connected in parallel.When these n resistances are connected in series,the resultant resistance will be
The resultant resistance of n wires each of resistance r ohms is R, when they are connected in parallel. When these n resistances are connected in series, the resultant resistance will be
When resistors 1 and 2 are connected in series, the equivalent resistance is 20.0 Omega. When they are connected in parallel, the equivalent resistance is 3.75 Omega. What are (a) the smaller resistance and (b) the larger resistance of these two resistors?
Two identical cells whether connected in parallel or in series gives the same current, when connected to an external resistance 1.5Omega . Find the value of internal resistance of each cell.
The resultant resistance of two resistors when connected in series is 48 ohm.the ratio of their resistances is 3:1 the value of each resistance is
Assertion : A resistance wire is broken into four pices and all are connected in parallel. Then, net resistance becomes 1/16 times. Reason : In parallel net resistance is less than the smallest value of individual resistance.
If resistors of resistance R_(1) and R_(2) are connected in parallel,then resultant resistance is "
PRADEEP-CURRENT ELECTRICITY-Problems for Practice (B)