Four resistors (R1 = 150 Ω, R2 = 250 Ω, R3 = 350 Ω, R4 = 450 Ω) are connected in series with a 12-V battery. What is the current that flows through the 250-Ω resistor?

Respuesta :

Answer:

The current of 10 mA is flowing through the 250-Ω resistor.

Explanation:

The values of four resistors 150 ohms, 250 ohms, 350 ohms and 450 ohms are connected in series with a 12 V battery. The equivalent resistance in case of series combination is given by :

[tex]R_{eq}=150+250+350+450[/tex]

[tex]R_{eq}=1200\ \Omega[/tex]

In series combination, the current flowing throughout the resistors is same. It is given by using Ohm's law as :

[tex]V=IR_{eq}[/tex]

[tex]I=\dfrac{V}{R_{eq}}[/tex]

[tex]I=\dfrac{12}{1200}[/tex]

[tex]I=0.01\ A[/tex]

or

[tex]I=10\ mA[/tex]

So, the current of 10 mA is flowing through the 250-Ω resistor. Hence, this is the required solution.