BASIC 
ELECTRONICS COURSE 
Page 6 INDEX

RESISTORS IN PARALLEL 

Any number of resistors can be placed in PARALLEL and their combined value is worked out by the following formula:

This is a fairly difficult equation to solve, so a RESISTORS IN PARALLEL calculator has been included. 

There are a number of reasons why two or more resistors are placed in parallel:
1. To obtain a "Special" value - one that is not a standard value
2. To create a higher wattage resistor.
3. To "trim" a resistor 
4. To create an accurate value

Normally two resistors in parallel will be able to do this and our notes cover 
2 RESISTORS IN PARALLEL.
There's a very simple way to work with parallel resistors. If you need to put two resistors in parallel (to obtain a higher wattage, for example), use TWO EQUAL VALUE  resistors. This will make the mathematics very simple. 
When two equal value resistors are placed in parallel, the result is HALF the resistance of either resistor.
For example: 
two 10k resistors in parallel produces a value 5k (very close to 4k7)
two 2k2 resistors in parallel gives 1k1 (close to 1k)
two 470R resistors gives 235R (close to 220R)
two 10R resistor in parallel gives 5R 

The same applies to 3 resistors in parallel = 1/3 value.  E.g: 1k, 1k, 1k in parallel gives: 330R. This is a very handy fact to remember as it saves mathematics.
If you need to combine unequal values, the following RESISTORS IN PARALLEL calculator will be needed:
To use the RESISTORS IN PARALLEL calculator:
Insert the value for each resistor in the box provided and press ANSWER:

RA RB

RTotal: ohms

     

 The calculator will also work in reverse. If you know the total resistance of the combination and the value of one of the resistors, the calculator will determine the value of the other resistor. 
Note: If you get a negative answer, the values you have supplied are incorrect. 

PROBLEMS: Use the calculator above to determine the answers:

REMEMBER: When two resistors are placed in parallel, the resistance across the combination is LESS THAN the lower resistor. 

STANDARD FORM

The value of a resistor is presented in a STANDARD way. For values up to 1,000 ohms, the letter R (R for resistance) is placed after the value of resistance. For values 1,000 ohms to 999,999 ohms the letter "k" is used.  (k for kilo). For values above 1,000,000 the letter M is used. (M for Mega)
If the value is 8.2 ohms the value can be written 8.2R
If the value is 1,500 ohms, the answer can be written 1.5k  
If the value is 2,200,000 ohms the value can be written 2.2M
But the decimal point can be lost in a printing or photocopying process so the letters "R, "k" and "M" are inserted in place of the decimal point: For example: 
8R2,   1k5,    2M2

When using the calculator above you must change the value from Standard Form to pure numbers e.g:   8R2   becomes:      8.2     
         1k5   becomes:    1500     
         2M2  becomes:     2200000      then convert the answer back to standard form. 

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