Question

Derive the formula for the equivalent resistance, when three resistors are connected in parallel.

Answer 1

Answer:

1/R=1/R1+1/R2+1/R3

Explanation:

In parallel combination of resistors voltage remains same but current varies for all the resistors.

In parallel combination of resistors voltage remains same but current varies for all the resistors. now,

In parallel combination of resistors voltage remains same but current varies for all the resistors. now, by ohm's law, we have

In parallel combination of resistors voltage remains same but current varies for all the resistors. now, by ohm's law, we haveR=V/I;. I=V/R

In parallel combination of resistors voltage remains same but current varies for all the resistors. now, by ohm's law, we haveR=V/I;. I=V/Rnow, by statement,we have

In parallel combination of resistors voltage remains same but current varies for all the resistors. now, by ohm's law, we haveR=V/I;. I=V/Rnow, by statement,we have I=I1+I2+I3

In parallel combination of resistors voltage remains same but current varies for all the resistors. now, by ohm's law, we haveR=V/I;. I=V/Rnow, by statement,we have I=I1+I2+I3so by ohm's law

In parallel combination of resistors voltage remains same but current varies for all the resistors. now, by ohm's law, we haveR=V/I;. I=V/Rnow, by statement,we have I=I1+I2+I3so by ohm's lawV/R=V1/R1+V2/R2+V3/R3

In parallel combination of resistors voltage remains same but current varies for all the resistors. now, by ohm's law, we haveR=V/I;. I=V/Rnow, by statement,we have I=I1+I2+I3so by ohm's lawV/R=V1/R1+V2/R2+V3/R3taking v as common because it is same

In parallel combination of resistors voltage remains same but current varies for all the resistors. now, by ohm's law, we haveR=V/I;. I=V/Rnow, by statement,we have I=I1+I2+I3so by ohm's lawV/R=V1/R1+V2/R2+V3/R3taking v as common because it is same V/R=V(1/R1+1/R2+1/R3)

In parallel combination of resistors voltage remains same but current varies for all the resistors. now, by ohm's law, we haveR=V/I;. I=V/Rnow, by statement,we have I=I1+I2+I3so by ohm's lawV/R=V1/R1+V2/R2+V3/R3taking v as common because it is same V/R=V(1/R1+1/R2+1/R3)Nullifing v

In parallel combination of resistors voltage remains same but current varies for all the resistors. now, by ohm's law, we haveR=V/I;. I=V/Rnow, by statement,we have I=I1+I2+I3so by ohm's lawV/R=V1/R1+V2/R2+V3/R3taking v as common because it is same V/R=V(1/R1+1/R2+1/R3)Nullifing v Therefore, we have

In parallel combination of resistors voltage remains same but current varies for all the resistors. now, by ohm's law, we haveR=V/I;. I=V/Rnow, by statement,we have I=I1+I2+I3so by ohm's lawV/R=V1/R1+V2/R2+V3/R3taking v as common because it is same V/R=V(1/R1+1/R2+1/R3)Nullifing v Therefore, we have 1/R=1/R1+1/R2+1/R3

HENCE PROVED///....