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=

Respuesta :

Rt= R1+R4+R23

R23 = 5/2 = 2.5 Ω

Rt= 5+5+2.5= 12.5Ω

I = U/R = 12/12.5=0.96 A

Answer C, A not V

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"

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