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`        A letter A is constructed of a uniform wire of resistance 1 ohm per cm .the sides of the letter are 6cm each and the cross piece in middle is 3cm long. Calculate the resistance batween the ends of the legs.`
2 years ago

```							Dear Nisha SInce the angle subtended is 60 degrees at the apex and both the sides are equal in length, the top of the letter A will make an equilateral triangle. hence all the three sides will be 10 3 cm each and correspondingly will have a resistance of 3 ohms each.The top triangle in A can be considered as 2 resistors of 3 ohms in series and 1 resistor of 3 ohm in parallel. Effective resistance of this traingle becomes 6/3 = 2 ohms. Now the effective circuit is 3 resistors of 3, 2 and 3 in series. Hence effective resistance is 8 = 8 ohms RegardsArun (askIITians forum expert)
```
2 years ago
```							SInce the angle subtended is 60 degrees at the apex and both the sides are equal in length, the top of the letter A will make an equilateral triangle. hence all the three sides will be 10 3 cm each and correspondingly will have a resistance of 3 ohms each.The top triangle in A can be considered as 2 resistors of 3 ohms in series and 1 resistor of 3 ohm in parallel. Effective resistance of this traingle becomes 6/3 = 2 ohms. Now the effective circuit is 3 resistors of 3, 2 and 3 in series. Hence effective resistance is 8 = 8 ohms
```
one year ago
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