Equivalent resistance if the values of the two resistances

AI Thread Summary
To find the equivalent resistance of two resistors in series, simply add their values together. For the given resistors, the equivalent resistance for 10 Ω and 20 Ω is 30 Ω, while for 100 Ω and 1 MΩ, it totals 1.1 MΩ. For 3.0 kΩ and 6.7 kΩ, the equivalent resistance is 9.7 kΩ, and for 400 Ω and 1 Ω, it equals 401 Ω. When calculating equivalent resistance for resistors in parallel, the formula involves taking the reciprocal of the sum of the reciprocals of the individual resistances. Understanding these formulas is essential for solving the problem accurately.
XodoX
Messages
195
Reaction score
0
Two resistors are in series. Find the equivalent resistance if the values of the two
resistances are as follows.
a) 10 [Ω] and 20 [Ω].
b) 100 [Ω] and 1 [MΩ] (M stands for “Mega” or million).
c) 3.0 [kΩ] and 6.7 [kΩ] (k stands for “kilo” or thousand).
d) 400 [Ω] and 1 [Ω].

Repeat the above problem, assuming that the resistors are in parallel.




Can anybody hel me with this, please? I have no idea how to start/do this. :confused:

Thank you!
 
Physics news on Phys.org


To start you off, what do you know about how to find equivalent resistance of resistors in series and parallel?
 


parallel has the same voltage and the current in series stays the same?
 


Series resistors:

Requivalent=R1+R2+R3+...+Rn

______________________________________________________

Parallel resistors:

( 1/ Requivalent) = ( 1 / R1) + ( 1/ R2) +...+ ( 1/ Rn)

OR you can use the following equation if you have two parallel resistors:

Requivalent=\frac{R1 \times R2}{R1 + R2}
 
Last edited:


So I just add them? a) would be 30 then.
Thank you, that works:)
 
Last edited:

Similar threads

Replies
8
Views
2K
Replies
11
Views
7K
Replies
17
Views
2K
Replies
10
Views
2K
Replies
8
Views
3K
Replies
4
Views
6K
Replies
14
Views
5K
Replies
9
Views
7K
Back
Top