Question

A circuit consist of
two parallel circuit. having
a resistance 20ohm and 30ohm respectively connected in series with 15ohm.the current through 15 ohm resistor is 3amps,then find the current through 20ohm and 30ohm resiator respectively.
​

Answer 1

Answer:

Step-by-step explanation:

ANSWER:

There are two types of Circuits:-

$\boxed{\textbf{PARALLEL CIRCUITS}}$

In this type the resistances are added by adding their reciprocals and at last we again reciprocal the sum to get required answer.

$\boxed{\textsf{SERIES CIRCUITS}}$

In this type resistances are simply added to get the equivalent resistance.

Let the total Resistance be R.

Calculating Parallel circuit first,

GIVEN:-

2 Resistances of 20 ohm and 30 ohm.

Let the Equivalent resistance be R'.

$\frac{1}{R'} = \frac{1}{20} +\frac{1}{30}$

Taking LCM,

$\frac{1}{R'} =\frac{3+2}{60} \implies \frac{5}{60} \implies \frac{1}{12}$

$\boxed{\boxed{\textsf{R' = 12 ohms}}}$

Now we will add R' with 15 Ohm as it is in Series:-

R = 12+15

$\boxed{\boxed{\textbf{R = Total Resistance = 27 Ohms}}}$

Now we need to find the voltage.

$\huge{\textsf{V = IR}}$

• Where V is voltage

• Where I is current

• Where R is Resistance

So,

V = 3 * 27

$\boxed{\boxed{\textsf{Voltage = 81 Volts}}}$

Now we need to find Current through each resistors where voltage will be same .

Using same Formula for 20 ohm first,

81 = 20*I

I = 81/20

$\boxed{\textbf{Current through 20 Ohm resistor = 4.05 Ampere}}$

Using the same formula for 30 ohm now,

81 = 30*I

I = 81/30

$\boxed{\textsf{Current through 30 Ohm resistor = 2.7 Amperes}}$

Answer 2

QUESTION:

• A circuit consists of two parallel circuit having resistance 20 ohm and 30 ohm.

• It is connected in series with 15 ohms.

• The current through 15 ohm resistance is 3 amps.

To Find:

• Current through 20 ohm and 30 ohm resistance.

FORMULA USED:

• In parallel, equivalent resistance is given by. ...

1/Req = 1/R1 + 1/R2

• In series, the equivalent resistance is given by...

Req = R1 + R2

• Also, V = I*R [ ohm's law]

SOLUTION:

Equivalent resistance in parallel will be..

1/Req = 1/20 + 1/30

1/Req = 5/60

Req = 12 ohms

Now, this us connected in series with 15 ohm resistor,

So, Req = 12+15 = 27 ohm

Now, Total 3 A current passes through 15 ohm connect.

So, V = 3*27 = 81 ohms...(1)

Therefore, current through 30 ohm resistance will be...

81/30 = 2.7 A

Current through 20 ohm resistance will be....

81/20 = 4.05 A.

So, the currents will be 4.05 A and 2.7 A .

${\huge{\mathbb{\purple{HOPE \ IT \ HELPS}}}}$