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here,
Resistor BC(R1)=50ohm
Resistor BD(R2)=75ohm
Resistor AD(R3)= 50ohm
Resistor AX(R4)= 100ohm.
Now, According to the given circuit=>
Resistor(R1) and Resistor (R2) are in parallel connection.
Hence,the net resistance formed by their combination will be=>
1/(R)s=1/R1 + 1/R2
=>1/(R)s =1/50+1/100
=>1/(R)s = 3/150
=>(R)s = 50ohm ---------(i)
Now,(R)s and R3 are in parallel combination also.Hence we get=>
1/(R)g= 1/(R)s + 1/R3
=>1/(R)g = 1/30 + 1/50
=>1/(R)g = (5+3)/150
=>1/(R)g = 8/150
=>1/(R)g = 4/75
=>(R)g = 75/4ohm----------(ii)
But we know that R4 and (R)g are in series combination,hence we get the final resistance as=>
Rn = R4 + (R)g
=>Rn = 100 + 75/4
=>Rn = (400+75)/4
=>Rn = 475/4
=>Rn = 118.75 ohm
Hence,the net resistance between point X and Y will be 118.75 or 475/4 ohm.
Remember
1)Series Combination
-Net resistance is sum of all resistance in series.
-Rn= R1 + R2 + R3 +..... Rg
where,
Rn=> is the net resistance
R1,R2,R3=> are resistors in series and
Rg =>is the last resistor of the circuit.
-In these type of circuits,the net resistance is always greater than the highest value of resistance in the circuit.
-In Series combination each resistor gets same Current.
2) Parallel Combination
- in this type of connection inverse of Net resistance is the sum of inverse of all other resistance in the circuit.
-1/Rn = 1/R1 + 1/R2 + 1/R3 +....1/Rp
where,
1/Rn=> is inverse for net resistance
1/Rp is the inverse of last resistance in the circuit.
-In this type of combination the net resistance is smaller than the smallest value of resistance in the combination.
-Each if the resistor gets same potential difference when connected in parallel.
Resistor BC(R1)=50ohm
Resistor BD(R2)=75ohm
Resistor AD(R3)= 50ohm
Resistor AX(R4)= 100ohm.
Now, According to the given circuit=>
Resistor(R1) and Resistor (R2) are in parallel connection.
Hence,the net resistance formed by their combination will be=>
1/(R)s=1/R1 + 1/R2
=>1/(R)s =1/50+1/100
=>1/(R)s = 3/150
=>(R)s = 50ohm ---------(i)
Now,(R)s and R3 are in parallel combination also.Hence we get=>
1/(R)g= 1/(R)s + 1/R3
=>1/(R)g = 1/30 + 1/50
=>1/(R)g = (5+3)/150
=>1/(R)g = 8/150
=>1/(R)g = 4/75
=>(R)g = 75/4ohm----------(ii)
But we know that R4 and (R)g are in series combination,hence we get the final resistance as=>
Rn = R4 + (R)g
=>Rn = 100 + 75/4
=>Rn = (400+75)/4
=>Rn = 475/4
=>Rn = 118.75 ohm
Hence,the net resistance between point X and Y will be 118.75 or 475/4 ohm.
Remember
1)Series Combination
-Net resistance is sum of all resistance in series.
-Rn= R1 + R2 + R3 +..... Rg
where,
Rn=> is the net resistance
R1,R2,R3=> are resistors in series and
Rg =>is the last resistor of the circuit.
-In these type of circuits,the net resistance is always greater than the highest value of resistance in the circuit.
-In Series combination each resistor gets same Current.
2) Parallel Combination
- in this type of connection inverse of Net resistance is the sum of inverse of all other resistance in the circuit.
-1/Rn = 1/R1 + 1/R2 + 1/R3 +....1/Rp
where,
1/Rn=> is inverse for net resistance
1/Rp is the inverse of last resistance in the circuit.
-In this type of combination the net resistance is smaller than the smallest value of resistance in the combination.
-Each if the resistor gets same potential difference when connected in parallel.
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