Electrical Engineering - Energy and Power - Discussion

Discussion Forum : Energy and Power - General Questions (Q.No. 1)
1.
A 33 half-watt resistor and a 330 half-watt resistor are connected across a 12 V source. Which one(s) will overheat?
33
330
both resistors
neither resistor
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
58 comments Page 1 of 6.

Sam said:   1 decade ago
Both the resistors have equal ratings.

Sunil hojage said:   1 decade ago
w=i^2r..........but w=0.5watt is given
so only current is change but out put is remain same
coz r=33 & r=330 & w=0.5
0.5=i*33;i=0.015
0.5=i*330;i=0.0015(not taking squaroot of i for simplicity)

Upasana sapra said:   1 decade ago
Both resistance are connected in series. Therefore R(eq.)=363.

Therefore I=V/R =12/363 = 0.033

Now calcuate power across each resistor. p=I^2*R.

Both power does not exceed by 0.5W. Therefore,neither res. get heated as it is half-Watt resistance.

Rachana said:   1 decade ago
Beacause they are connected in parallel.

Sana sahithi said:   1 decade ago
In both the resistors power dissipated is same.

Calculate currents and power in both resistors. Numerically they are equal.

Ankit Bhardwaj said:   1 decade ago
No need to calculate anythin as it's
given in the que. that both the resistors are of same
ratings i.e 1/2 watts....
thats why heat dissipation shall be same...!

Raj said:   1 decade ago
Circuit in series so power or heat dissipation will be same.

Pandiaraj.S said:   1 decade ago
I am sorry to say that Answer Option D is wrong and correct Answer is Option A.
Given:
Both R are connected in parallel and 0.5W capacity.
Solution:
I1 = V / R1 = 12 / 33 = 0.364A
W1 = I1^2*R1 = 0.364^2*33 = 4.37W - Overheat

I2 = V / R2 = 12 / 330 = 0.0364A
W2 = I2^2*R2 = 0.0364^2*330 = 0.0437W - Good design
Answer:
Option A

Anai relish said:   1 decade ago
Yeah its connected in parallel so we have different currents
so I(1)=v/r1=12/33=0.3636
P(1)=I^2*r1=4.3636>0.5W (so it gets heated up......)
I(2)=v/r2=12/330=o.o3636
P(1)=I^2*r2=0.43636<0.5W (so it is not heated.....)
Therefor the answer is op:A

If it is connected in series then we have
R=r1+r2=363
I=v/R=12/363=0.033
P1=I^2*r1=0.0359<0.5W (not heated....)
P2=I^2*r2=0.0359<0.5W (not heated....)

So answer is Option D is correct answer.
(1)

Gurbachan Dhiman said:   1 decade ago
Option D is correct because in // any type of load take current according its capacity ( Rating )


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