Question

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Answer 1

Answer:

Given:

A circuit having 3 resistors have been provided.

To find:

1. Net resistance

2. Potential difference between "A and B" and "B and C"

3. Current through PQ AND AC .

Calculation:

1st part:

2 ohm and 4 ohm are in series

Hence total resistance is 4+2 = 6 ohm.

And these are parallel to 3 ohm.

Effective resistance = (3×6)/(3+6)

=> R effective = 2 ohm

2nd part:

Current through AC branch

= V/R

= 6/(4+2)

= 6/6

= 1 ohm

So potential difference along A and B

= I × R"

= 1 × 2

= 2 volts.

Similarly, potential drop along B and C

= I × R'

= 1 × 4

= 4 volts

3rd part:

Current through AC

= V/R

= 6/6

= 1 amp.

Similarly, current through PQ

= V/R

= 6/3

= 2 amp.

Answer 2

$\huge{\orange{\underline{\red{\mathscr{ANSWER:- }}}}}$

Q. 1)CALCULATE EFFECTIVE RESISTANCE

2 Ω and 4 Ω are connect in series :-

R s=R1+R2........(1)

.°. 2+4=$\huge{\orange{\underline{\red{\mathscr{6Ω}}}}}$

and these are connect in parallel to 3Ω.

$effective \: \: resistance = \frac{3 \times 6}{3 + 6} \\ effective \: \: resistance = \frac{18}{9}$

effective resistance=$\cancel{18}$/ $\cancel{9}$

.°.effective resistance=$\huge{\orange{\underline{\red{\mathscr{2Ω}}}}}$

Q. 2)CALCULATE THE POTENTIAL DIFFERENCE BETWEEN POINTS A AND B AND POINTS B AND C.

Con. 1) current through AC branch.

$= \frac{v}{r}$

=$\cancel{6}$ / $\cancel{6}$

=$\huge{\orange{\underline{\red{\mathscr{1Ω}}}}}$

NOW,

CON. 2)CALCULATE POTENTIAL DIFFERENCE BETWEEN A AND B.

=Í ×R1.....(from 1.)

=1×2

=$\huge{\orange{\underline{\red{\mathscr{2VOLT }}}}}$

THEN,

CALCULATE POTENTIAL DIFFERENCE BETWEEN B AND C.

=Í ×R2......(from 1)

=1×4

=$\huge{\orange{\underline{\red{\mathscr{4VOLT}}}}}$

Q. 3)CALCULATE CURRECT THROUGH BRACH AC AND PQ.

CON.1)CURRENT THROUGH AC.

$= \frac{v}{r}$

=$\cancel{6}$ / $\cancel{6}$

=$\huge{\orange{\underline{\red{\mathscr{1A.}}}}}$

CON. 2)CURRENT THROW PQ.

=V/R.

=$\cancel{6}$ / $\cancel{3}$

=$\huge{\orange{\underline{\red{\mathscr{2A.}}}}}$

$\huge{\orange{\underline{\red{\mathscr{THANKS. }}}}}$