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an electric lamp of 100 ohm a toaster resistance 50 ohm ,and a water filter of resistance 500 ohm are connected in parallel to a 220v source.what is the resistance of an electric iron connected to the same source that takes as much vcurrent as all three appliances,and what is the current through it?
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an electric lamp of 100 ohm a toaster resistance 50 ohm ,and a water f...
Solution :

Given:

Resistance of electric lamp =100 ohm
Resistance of a toaster = 50 ohm
Resistance of a water filter = 500 ohm
Potential difference = 220 volt

These are connected in parallel
Therefore, for parallel combination resistancr R is given by

1/R = 1/R1 + 1/R2 + 1/R3
1/R = 1/100 + 1/50 + 1/500
1/R = 5 + 10 + 1/500
1/R = 16/500
1/R = 4/125
1/R= 125/4
1/R = 31.25 ohm

According to ohms law,
V = I × R
220 = I × 31.25
I =220/31.25
I = 7.04 ampere

7.04 ampere current is drawn by all three appliances. Therefore, current drawn by an electric iron connected to the same voltage source of 220 volt is 7.04 ampere.
Let R' be the resistance of the electric iron .
According to ohms law ,
V=IR'
R'= V/I
R'= 220/7.04
R'=31.25 ohm

Therefore the resistance of electric iron is 31.25 ohm and the current flowing through it is 7.04 ampere.
Community Answer
an electric lamp of 100 ohm a toaster resistance 50 ohm ,and a water f...
Problem Statement

An electric lamp of 100 ohm, a toaster resistance of 50 ohm, and a water filter of resistance 500 ohm are connected in parallel to a 220V source. What is the resistance of an electric iron connected to the same source that takes as much current as all three appliances, and what is the current through it?

Solution

To find the resistance of the electric iron, we first need to calculate the total resistance of the appliances connected in parallel.

Calculating Total Resistance

The formula for calculating the total resistance in a parallel circuit is:

1/Rt = 1/R1 + 1/R2 + 1/R3 + ...

Where Rt is the total resistance and R1, R2, R3, etc. are the individual resistances.

Substituting the given values, we get:

1/Rt = 1/100 + 1/50 + 1/500

Simplifying the above equation, we get:

1/Rt = 0.02

Rt = 1/0.02

Rt = 50 ohm

Therefore, the total resistance of the parallel circuit is 50 ohm.

Calculating Current

We know that the voltage across the parallel circuit is 220V. Using Ohm's Law, we can calculate the total current flowing through the circuit as:

I = V/R

I = 220/50

I = 4.4 A

Therefore, the total current flowing through the parallel circuit is 4.4 A.

Calculating Resistance of Electric Iron

To find the resistance of the electric iron, we need to use the formula:

R = V/I

Where R is the resistance, V is the voltage, and I is the current.

Substituting the given values, we get:

R = 220/4.4

R = 50 ohm

Therefore, the resistance of the electric iron is also 50 ohm.

Calculating Current through Electric Iron

Using Ohm's Law, we can calculate the current through the electric iron as:

I = V/R

I = 220/50

I = 4.4 A

Therefore, the current through the electric iron is also 4.4 A.

Conclusion

In conclusion, the resistance of the electric iron is 50 ohm, and the current flowing through it is 4.4 A.
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