Calculate the effective resistance of the resistors shown in this circuit diagram - Leaving Cert Physics - Question e - 2015
Question e
Calculate the effective resistance of the resistors shown in this circuit diagram.

Worked Solution & Example Answer:Calculate the effective resistance of the resistors shown in this circuit diagram - Leaving Cert Physics - Question e - 2015
Step 1
Identify the Circuit Configuration
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
In the given circuit, we have two resistors, 20 Ω and 5 Ω, connected in parallel. To find the effective resistance (
Reff
) of resistors in parallel, we can use the formula:
Reff1=R11+R21
where:
R1=20Ω
R2=5Ω
Step 2
Apply the Formula
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Substituting the values of the resistors into the formula:
Reff1=201+51
Calculating the right side, we first convert the fractions to a common denominator:
201+51=201+204=205
Step 3
Calculate the Effective Resistance
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Thus, we have:
Reff1=205
To find Reff, we take the reciprocal:
Reff=520=4Ω
Therefore, the effective resistance of the resistors in the circuit is 4 Ω.
Join the Leaving Cert students using SimpleStudy...