Question

A 1.5 V battery is connected to a 1000 ohm resistor and a 500 ohm resistor in series. The voltage across the 1000 ohm resistor is _____ V.

Answer 1

1 volt and 0.5 volt

Step-by-step explanation:

Given data

voltage supplied Vs= 1.5 volts

resistance R1= 1000 ohms

resistance R2= 500 ohms

The total resistance is

Rt= 1000+ 500

Rt= 1500 ohms

The current I is given as

`I= (Vs)/(Rt) \\\\ I= (1.5)/(1500) = 0.001mA`

Voltage across R1

`VR1= Vs((R1)/(R1+R2) )=1.5((1000)/(1000+500) )= 1.5((1000)/(1500) )\\ \\\ VR1= 1v`

Voltage across R2

`VR2= Vs((R2)/(R1+R2) )=1.5((500)/(1000+500) )= 1.5((500)/(1500) ) \\\ VR2=0.5v`

In series connection the current is the same for all components while the voltage divides across all components,the voltages consumed by each individual resistance is equal to the source voltage.