Solved Examples on Direct Current Circuit
Here are some solved examples based on DC circuit.
Example 1: Three light bulbs of 40W, 60W and 100W are connected in series with 220 volt source. Which of the three bulbs will glow the brightest?
Solution:
It is obvious that the bulb with most power will glow the brightest.
Now current across each resistance will be same due to series circuit so we calculate the resistance of each bulb.
P=V2/R …….(1)
For the first bulb, substituting the values we get,
⇒ R1 = (220)2/40
On calculating we get,
⇒R1 = 1210 Ω
Similarly for the second bulb, we get the resistance by substituting the values as,
⇒R2 = (220)2/60
On calculating we get,
⇒R2 = 806.67Ω
For the third bulb on substituting we get,
⇒R3 = (220)2/100
On calculating we get,
⇒R3 = 484Ω
Now we calculate power across each bulb using by P = I2R
Bulb 1: P1= 1210 × I2
Bulb 2: P2= 806.67 × I2
Bulb 3: P3= 484 × I2
Since P1 is the largest bulb 1 glows the brightest.
Example 2: Find values of current I1 and I2 in the circuit given below:
Using Kirchoff’s Law in loop 1:
V1 – I1R1 – (I1+I2)R3 = 0
V1 = I1(R1 + R3) + I2R3 ……..(1)
Using Kirchoff’s Law in loop 2:
V2 – I2R2 – (I2 + I1)R3=0
V2 = I1R3 + I2(R2 + R3) ……..(2)
On solving 1 and 2,
I1 = (V1 – I2R3)/R1 + R3
I2 = (V2 – (V1 – V2) × R3/R1)/(R2 + (R1 + R2) × R3/R1)
DC Circuit
Direct Current Circuit or DC Circuit is a closed electrical circuit in which the flow of electricity is in one direction. DC Circuit has a DC Power Supply which produces Direct Current in the circuit. As opposed to alternating current, Direct Current has a fixed magnitude and flows in one direction only. Direct Current Circuit forms a major backbone of the electronics industry.
In this article, we will learn what is Direct Current Circuit, its types, the derivation of voltage and current in different types of DC Circuits, application of DC Circuits, and how to convert AC to DC Circuits.
Table of Content
- Direct Current Meaning
- Direct Current Circuit
- Types of DC Circuit
- Direct Current Circuit Breaker
- How to Convert AC to DC Circuit
- AC and DC Circuit
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