Find the value of current I in the following circuit diagram
Answers
Answer:
Answer : (A) 2.5 amperes
Explanation:
In the given circuit diagram, the resistances are connected in series as well as in parallel combination.
Two resistances of 2 ohms each are connected in series combination to each other but taken together, they are in parallel combination with the resistance 4 ohm.
Let us first calculate the resultant resistance R of the two resistances of 2 ohms each.
Resultant resistance, R1 = 2 ohm + 2 ohm
= 4 ohm
It is clear from the diagram that now we have two resistances of 4 ohms (= R1) and 4 ohms which are connected in parallel.
Combined resistance, 1/ R = [1/ 4 + 1/ 4]
= 2/ 4 = 1/ 2 ohm
=> R = 2 ohms
The battery shown in the given circuit is of 5 volts. Right!
Total potential difference, V = 5 V
Total current, I = ? {To be calculated}
Combined resistance, R = 2 ohms {Calcultaed above}
Applying Ohm's law to the whole circuit, we obtain
V = I × R
=> 5 = I × 2
=> I = 5/ 2 amperes = 2.5 amperes
Thus, the current flowing through the circuit is 2.5 A.
Option 1 is correct
2.5 amperes is the correct answer.
The resistances in the circuit schematic are linked in both series and parallel configurations.
Two 2 ohm resistances are linked in series to each other, but when combined, they form a parallel combination with the 4 ohm resistance.
Let's start by calculating the combined resistance R of the two 2 ohm resistances.
R1 = 2 ohm + 2 ohm is the resultant resistance.
= 4 ohm ohm ohm ohm
As can be seen from the diagram, we now have two parallel resistances of 4 ohms (= R1) and 4 ohms (= R2).
1/ R = [1/ 4 + 1/ 4] is the combined resistance.
= 1/ 2 ohm = 2/ 4 ohm
R = 2 ohms = R = 2 ohms = R = 2 ohms =
The battery in the described circuit is a 5 volt battery. Right!
V = 5 V total potential difference
I = I = I = I = I = I = I = I = I = I = I To be determined
R = 2 ohms combined resistance (calculated above)
When we apply Ohm's law to the entire circuit, we get
V = I R = V = I R = V = I R = V = I R
=> 2 + 5 = I
=> I = 5 amperes divided by 2 amperes equals 2.5 amperes
As a result, the current in the circuit is 2.5 A.