Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

  
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,910 users

help 2.3

0 votes
2.3.  a circuit consists of the following components:

Z1=110-j21, 21 ohms

Z2=150+j26, 41ohms

Z3=100+j46, 31ohms

 

If z1 and z2 are connected in parallel, and this combination is connected in series with z3 across a 240V, 50Hz supply. Calculate:

a. the total impedance of the circuit to ensure maximum power transfer

b. the current in different branches. Also draw the phasor diagram.
asked Apr 1, 2015 in PHYSICS by anonymous

2 Answers

0 votes

(a)

Step 1:

Circuit having 3 impedance components and source.

.

z1 and z2 are connected in parallel.

This combination is connected in series with z3 across a 240V, 50Hz supply.

Draw a circuit with above specifications :

Find the total impedance of the circuit.

z1 and z2 are connected in parallel.

Step 2:

is in series with z3.

image

According to maximum power transfer theorem, the maximum power will transfer only if load impedance equals to source impedance .

So the impedance of the circuit that ensure maximum power transfer is image.

Solution :

The impedance of the circuit that ensure maximum power transfer is image.

answered Apr 1, 2015 by yamin_math Mentor
0 votes

(b)

Step 1:

The supply voltage is  240V, 50Hz.

The total circuit impedance is .

So the circuit is .

The circuit current is .

Also the current through the is .

The polar form of the is .

Phasor diagram of the :

Step 2:

Observe the circuit the voltage in parallel loop is same.

So .

Find the drop across .

Voltage in parallel loop is .

Find current in the image :

image

The polar form of the image is image.

Phasor diagram of the image :

image

answered Apr 1, 2015 by yamin_math Mentor

Step 3:

Find current in the image:

image

The polar form of the image is image.

Phasor diagram of the image :

image

Solution :

(i) Current through the image is image.

(ii) Current through the image is image.

(iii) Current through the is .

Related questions

asked May 6, 2015 in PHYSICS by anonymous
asked Mar 30, 2015 in PHYSICS by anonymous
asked Mar 30, 2015 in PHYSICS by anonymous
asked Mar 30, 2015 in PHYSICS by anonymous
asked Mar 30, 2015 in PHYSICS by anonymous
asked Aug 23, 2017 in PHYSICS by anonymous
asked May 11, 2015 in PHYSICS by anonymous
asked Mar 29, 2015 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 30, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Jul 6, 2015 in PHYSICS by anonymous
...