Question

hello please solve please don't give meaningless answers ...

Answer 1

any comments welcome

Answer 2

hello friend...!!

A)  in the first diagram , upper 3 resistors are in series and bottom 3 resistors are in series therefore ,

let us consider R1 as upper part and R2 as lower part , implies , 

R1 = 1 ohm + 1 ohm + 1 ohm ( in series R = r1 + r2 + r3 )

implies R1 = 3 ohm . similarly R2 = 3 ohm .

R1 AND R2 are parallel therefore the total resistance of diagram ( 1 ) is,

1 / R = 1 / R1 + 1 / R2 . 

1 / R = 1 / 3 + 1 / 3 = 2 / 3  

implies  R = 3 / 2-----------------------( answer ) 

B) in the second diagram the upper two resistors  each of with resistance 4 ohm are in series 

therefore ,  R = R1 + R2 

R = ( 4 + 4 ) ohm 

R = 8 ohm this 8 ohm is parallel with 4 ohm 

1 / R = 1 / 4 + 1 / 8 = 3 / 8 

R = 8 / 3 --------------------------( answer )

c) in third question ,

let us consider the first square , where the upper two resistors f each resistace 2 ohm are in series simillarly lower two resistors of each resistace 2 ohm are in series .

therefore , in the first box , the upper total resistance is 

r1 = 2 ohm + 2 ohm = 4 ohm similarly bottom total resistance is equal to 4 ohm 

the upper and bottom are parallel 

implies , 1 / r = 1 /r1 + 1 / r2 = 1 / 4 + 1 / 4 = 2 / 4

implies r = 4 / 2 = 2 ohm . ---------------( 1 ) 

similarly  in the second square box the total resistance is 2 ohm ----( 2 ) 

the third resistor = 2 ohm -----------( 3 )

equation 1 & 2 & 3 are three reistors that are series therefore 

R = ( 2 + 2 + 2 ) ohm 

R = 6 ohm------------------------( answer )

D) in 4th question , 

let us solve the upper part first , 

where the each resistor of resistance 2 ohm are parallel .

so 1 / r = 1 / r1 + 1 / r2 = 1 / 2 + 1 / 2 = 2 / 2

implies , r = 2 / 2 = 1  ohm ---------( 1 ) { RIGHT HAND SIDE} 

similarly r = 1 ohm ------------------( 2 ) { LEFT HAND SIDE } 

here equation ( 1 ) and equation ( 2) are series .

so ,  R 1 = 1 ohm + 1 ohm = 2 ohm-----------------( 3) { COMPLETE UPPER PART }

similarly the total resistance in the complete lower part is 

R 2 = 2 ohm----------------( 4 ) { COMPLETE LOWER PART }

equation (3 ) and ( 4 ) are parallel in nature therefore ,

1 / R = 1/ R1 + 1 / R2 

1 / R = 1 / 2 + 1 / 2 = 2 / 2

R = 1 ohm -----------------------------------( answer )

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therefore for

 first diagram R = 3 / 2 OHM 

second diagram R = 8 /3 OHM

third diagram R = 6 OHM 

fourth diagram R = 1 OHM .

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hope it helps...!!!