Two conducting wires of the same material and of equal lengths and equal diameter are first connected in series and then parallel in a circuit across the same potential difference. The ratio of heat produced in series and parallel combinations would be. (a) 1:2. (b) 2:1.
Let resistance of each wire is R Ω. if two wires are connected in series, then its equivalent resistance is,
=> R + R = 2R Ω .
If two wires are connected in parallel, then its equivalent resistance is,
=> 1/R + 1/R = (1+1)/R = 2/R Ω .
=> resistance = R/2
Let Current drawn by series combination = V/2R = i A.
Current drawn by parallel combination = V / (R/2) = 4i A
Heat produced in series combination = i2 2R = (2i2 R) W --- (1)
Heat produced in parallel combination = 16i2 (R/2) = ( 8i2 R) W ---(2)
From eqn.(1) and (2), we get ratio of heat produced in series combination to heat produced in parallel combination = 1 : 4
Series and Parallel Circuits
Simple circuits (ones with only a few components) are usually fairly straightforward for beginners to understand. But, things can get sticky when other components come to the party. Where's the current going? What's the voltage doing? Can this be simplified for easier understanding? Fear not, intrepid reader. Valuable information follows.
In this tutorial, we’ll first discuss the difference between series circuits and parallel circuits, using circuits containing the most basic of components -- resistors and batteries -- to show the difference between the two configurations. We’ll then explore what happens in series and parallel circuits when you combine different types of components, such as capacitors and inductors.
Covered in this Tutorial
What series and parallel circuit configurations look like
How passive components act in these configurations
How a voltage source will act upon passive components in these configurations
You may want to visit these tutorials on the basic components before diving into building the circuits in this tutorial.
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series Circuit is that in which the Electrical components like ammeter,voltmeter,bulb,etc.are arrNged in series...
parralel Circuit is the circuit in our homes...mainly ac current pass through itthe Electrical components are arranged parralel
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This diagram illustrates a parallel circuit.
The electrons/current coming out from the battery ,flow equally in all the bulbs and then join and end at the terminal of the battery.
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This diagram illustrates both Series and parallel circuits
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We don't use series connection in home because in series Voltage across points is different but current in whole circuit remains same. In a electric pole to supply electricity to long distances huge amount of current is sent through them. ... Hence all our electrical connections are connected in parallel.
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R(s)=R(1)+R(2)+R(3) - - -