Question

37. Resistances of 4 ohm and 12 ohm are connected in parallel across a 9 v battery
Determine (a) the equivalent circuit resistance, (b) the supply current, and (c)
the current in each resistor.
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Answer 1

Answer:

a) 3 ohm b) 3 ampere c) for 4 ohm- 2.25 ampere, for 12 ohm- 0.75 ampere

Explanation:

GIVEN-

R₁= 4 ohm

R₂= 12 ohm

P.D= 9 V                                                                                                                         

a) It is given that both the resistors(R₁ and R₂) are connected in parallel

   So, equivalent resistance in parallel connection=

                          1/r= 1/R₁+1/R₂

1/r= 1/4+1/12

1/r=4/12

 r=12/4

 r=3 ohm

b) We have to find supply current-

   By ohm's law-

                            V=IR

                            I=V/R

      I= 9/3  (R=3 ohm)

      I= 3 A

c)    I CASE- R= 4 ohm

             By ohm's law-

                  V=IR

                  I=V/R

           I= 9/4

           I= 2.25 A

      II CASE- R=12 ohm

           We know that-

                                    I=V/R

                                    I=9/12

                                    I=0.75 A

I HOPE IT WAS HELPFUL FOR U!!!