please solve this question urgently.
FIND THE EQUIVALENT RESISTANCE BETWEEN THE POINTS (X AND Y).
Answers
Answer:
- 3 ohm, 7 ohm and 10 ohm resistors are connected in parallel.
- And the rest of the resistors are connected in series.
Hence, finding the net resistance im parallel connection –
1/Rp = 1/R1 + 1/(R2 + R3)
1/Rp = 1/10 + 1/(7+3)
[ We added 7 and 3 as the resistors of 7 ohm and 3 ohm are connected in series ]
1/Rp = 1/10 + 1/10
1/Rp = 2/10
Rp = 10/2
Rp = 5 ohm
Now, finding the net resistance in the series connection –
Rs = R1 + R2 + R3
Rs = 5 + 7 + 3
Rs = 15 ohm
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QUESTION -
FIND THE EQUIVALENT RESISTANCE BETWEEN THE POINTS (X AND Y).
SOLUTION
Let us carefully observe the above diagram.
The three Ohm and the seven Ohm resistance are in series.
Net resistance between them = 10 Ohm.
Now this 10 Ohm and the other 10 Ohm are In parallel.
So, net resistance between them => ( 10 × 10 ) / ( 10 + 10 )
=> ( 100 / 20 ) ohm = 5 Ohm.
Now resistances between points X and Y -
The following resistances , 7 Ohm, 5 Ohm and 3 OHm are in series .
Hence,
Net resistance = 15 Ohm
ANSWER :
The net resistance between the points X and y is 15 Ohm.