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The equivalent resistance between A and B is ?
- a)3 ohms
- b)5.5 ohms
- c)7.5 ohms
- d)9.5 ohms
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The equivalent resistance between A and B is ?a)3 ohmsb)5.5 ohmsc)7.5 ...
Redrawing the circuit, we get
3 Ω & 6 Ω are in parallel.
∴ R1 = 3 x 6 / 3 + 6 = 18/9 = 2
3 Ω & 6 Ω are in parallel.
∴ R1 = 3 x 6 / 3 + 6 = 18/9 = 2
Now R1 and 8Ω in series
∴ R2 = R1 + 8 = 2 + 8 = 10 Ω
Now R2 and 30Ωin parallel
= 300/40 = 30/4 = 15 /2
= 7.5 Ω
∴ R2 = R1 + 8 = 2 + 8 = 10 Ω
Now R2 and 30Ωin parallel
= 300/40 = 30/4 = 15 /2
= 7.5 Ω
Most Upvoted Answer
The equivalent resistance between A and B is ?a)3 ohmsb)5.5 ohmsc)7.5 ...
Given circuit diagram:
```
___ 2Ω ___
| |
A --| |--
|___ 4Ω ___|
| |
|___ 2Ω ___|
| |
B --| |--
|___ 4Ω ___|
| |
|___ 2Ω ___|
| |
|___ 2Ω ___|
```
To find the equivalent resistance between points A and B, we can use the concept of series and parallel resistors.
Step 1: Simplify the circuit by combining resistors in series and parallel.
```
___ 2Ω ___
| |
A --| |--
|___ 4Ω ___|
| |
| |
|__________|
| |
| |
|___ 2Ω ___|
| |
B --| |--
|___ 4Ω ___|
| |
|___ 2Ω ___|
| |
|___ 2Ω ___|
```
Step 2: Combine the resistors in series.
```
___ 2Ω ___
| |
A --| |--
|___ 4Ω ___|
| |
| |
|__________|
| |
| |
|___ 2Ω ___|
| |
B --| |--
|___ 4Ω ___|
| |
|___ 2Ω ___|
| |
|___ 2Ω ___|
```
Step 3: Combine the resistors in parallel.
```
___ 2Ω ___
| |
A --| |--
|___ 4Ω ___|
| |
| |
|__________|
| |
| |
| |
| |
B --|__________|
| |
|___ 2Ω ___|
```
Step 4: Combine the resistors in series.
```
___ 2Ω ___
| |
A --| |--
|___ 4Ω ___|
| |
| |
|__________|
| |
| |
| |
| |
B --|__________|
| |
|___ 2Ω ___|
```
Step 5: Calculate the total resistance.
The total resistance between A and B is simply the sum of the resistances along the path from A to B. In this case, the total resistance is 2Ω + 4Ω + 2Ω = 8Ω.
Therefore, the correct answer is option C) 7.5 ohms.
```
___ 2Ω ___
| |
A --| |--
|___ 4Ω ___|
| |
|___ 2Ω ___|
| |
B --| |--
|___ 4Ω ___|
| |
|___ 2Ω ___|
| |
|___ 2Ω ___|
```
To find the equivalent resistance between points A and B, we can use the concept of series and parallel resistors.
Step 1: Simplify the circuit by combining resistors in series and parallel.
```
___ 2Ω ___
| |
A --| |--
|___ 4Ω ___|
| |
| |
|__________|
| |
| |
|___ 2Ω ___|
| |
B --| |--
|___ 4Ω ___|
| |
|___ 2Ω ___|
| |
|___ 2Ω ___|
```
Step 2: Combine the resistors in series.
```
___ 2Ω ___
| |
A --| |--
|___ 4Ω ___|
| |
| |
|__________|
| |
| |
|___ 2Ω ___|
| |
B --| |--
|___ 4Ω ___|
| |
|___ 2Ω ___|
| |
|___ 2Ω ___|
```
Step 3: Combine the resistors in parallel.
```
___ 2Ω ___
| |
A --| |--
|___ 4Ω ___|
| |
| |
|__________|
| |
| |
| |
| |
B --|__________|
| |
|___ 2Ω ___|
```
Step 4: Combine the resistors in series.
```
___ 2Ω ___
| |
A --| |--
|___ 4Ω ___|
| |
| |
|__________|
| |
| |
| |
| |
B --|__________|
| |
|___ 2Ω ___|
```
Step 5: Calculate the total resistance.
The total resistance between A and B is simply the sum of the resistances along the path from A to B. In this case, the total resistance is 2Ω + 4Ω + 2Ω = 8Ω.
Therefore, the correct answer is option C) 7.5 ohms.
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Question Description
The equivalent resistance between A and B is ?a)3 ohmsb)5.5 ohmsc)7.5 ohmsd)9.5 ohmsCorrect answer is option 'C'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The equivalent resistance between A and B is ?a)3 ohmsb)5.5 ohmsc)7.5 ohmsd)9.5 ohmsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equivalent resistance between A and B is ?a)3 ohmsb)5.5 ohmsc)7.5 ohmsd)9.5 ohmsCorrect answer is option 'C'. Can you explain this answer?.
The equivalent resistance between A and B is ?a)3 ohmsb)5.5 ohmsc)7.5 ohmsd)9.5 ohmsCorrect answer is option 'C'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The equivalent resistance between A and B is ?a)3 ohmsb)5.5 ohmsc)7.5 ohmsd)9.5 ohmsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The equivalent resistance between A and B is ?a)3 ohmsb)5.5 ohmsc)7.5 ohmsd)9.5 ohmsCorrect answer is option 'C'. Can you explain this answer?.
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