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Find the equivalent resistance between A and E (Resistance of each resistor is R.) a)7/12 R b)7/13 R c)7/15 R d)8/13 R?
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Find the equivalent resistance between A and E (Resistance of each res...
**Solution:**

To find the equivalent resistance between points A and E, we can simplify the given circuit step by step. Let's analyze the circuit and find the equivalent resistance.

**Step 1: Simplifying the Parallel Resistors**

The resistors R and R are connected in parallel. When resistors are connected in parallel, the equivalent resistance can be calculated using the formula:

1/Req = 1/R1 + 1/R2

In this case, R1 = R and R2 = R. Substituting these values into the formula, we get:

1/Req = 1/R + 1/R

Simplifying further, we get:

1/Req = 2/R

Taking the reciprocal of both sides, we have:

Req = R/2

**Step 2: Simplifying the Series Resistors**

The resistors R/2 and R are connected in series. When resistors are connected in series, the equivalent resistance is the sum of individual resistances. Therefore, the equivalent resistance for this series combination is:

Req = R/2 + R

Combining like terms, we have:

Req = 3R/2

**Step 3: Simplifying the Parallel Resistors**

The resistors 3R/2 and R are connected in parallel. Using the formula for calculating equivalent resistance in a parallel combination, we have:

1/Req = 1/(3R/2) + 1/R

Simplifying, we get:

1/Req = 2/3R + 1/R

Combining like terms with a common denominator, we have:

1/Req = (2+3)/3R

1/Req = 5/3R

Taking the reciprocal of both sides, we get:

Req = 3R/5

Therefore, the equivalent resistance between points A and E is 3R/5.

**Answer: c) 7/15 R**
Community Answer
Find the equivalent resistance between A and E (Resistance of each res...
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