If each resistor in the circuit shown is 5.0 Ω and the battery is 12.0 V, what does the first ammeter (A1) read? A. 0.12 V B. 0.48 V C. 0.96 V D. .24 V
![If each resistor in the circuit shown is 50 Ω and the battery is 120 V what does the first ammeter A1 read A 012 V B 048 V C 096 V D 24 V class=](https://us-static.z-dn.net/files/d20/3732862417c6b009eb8b7294fb95fdb1.png)
Answer:
The first ammeter reads 0.96 A.
Explanation:
From the attached figure,
Resistance of all resistors, R₁ = R₂ = R₃ = R₄ = 5 Ω
Voltage of the battery, V = 12 V
First we will find the total resistance of the circuit,
R₂ and R₃ are in parallel. So,
[tex]\dfrac{1}{R_{23}}=\dfrac{1}{R_2}+\dfrac{1}{R_3}[/tex]
[tex]R_{23}=2.5\ \Omega[/tex]
Now R₁, R₂₃ and R₄ are in series.
So, [tex]R_{eq}=5+5+2.5[/tex]
[tex]R_{eq}=12.5\ \Omega[/tex]
Now we have to find the current across the first ammeter.
[tex]I=\dfrac{V}{R_{eq}}[/tex]
[tex]I=\dfrac{12\ V}{12.5\ \Omega}[/tex]
So, I = 0.96 A
Hence, the correct option is (c) " 0.96 A"