Answers A 17.0 resistor and a 6.0 resistor are connected in series with a battery. The potential difference across the 6.0 resistor is measured as 15 V. Find the potential difference across the battery.

57.5volts

Explanation

Since the resistors given are connected in series, therefore the same current will flows in both resistors but different voltage will be across them.

If the potential difference across the 6.0 resistor is measured as 15 V, then the current in the 6.0 resistor can be gotten using ohm's law formula V = IR where;

V is the potential difference = 15V

I is the current = ?

R is the resistance = 6.0

I = V/R

I = 15/6

I = 2.5A

This means a current of 2.5A flows in the 6.0 resistor.

This same current will therefore flow in the 17.0 resistors and also be the total current flowing in the circuit.

To calculate the potential difference E across the battery, we will use the expression E = IRt where;

I is the total current flowing in the circuit = 2.5A

Rt is the effective resistance = 17+6 = 23.0ohms (since they are connected in series)

E = 2.5×23

E = 57.5volts

The potential difference across the battery is 57.5volts

Potential difference across the battery = 57.5 V

Explanation:

We can solve this problem more efficiently if we use voltage divider rule to find out the voltage across the battery.

Voltage divider rule to find voltage across 6 Ω resistor

V₆ = V (R₁₇/ (R₁₇+R₆))

Where V₆ is the voltage across 6 Ω resistor and V is the overall voltage across battery, re-arrange the equation to find V

V = V₆ (R₁₇ + R₆)/R₁₇))

V = 15 ((17 + 6)/17)

V = 15 (23/6)

V = 57.5 V

Bonus:

The total voltage in a circuit is the sum of voltage drops at each resistor so we can find out the voltage at 17 Ω resistor

V = V₆ + V₁₇

V₁₇ = V - V₆

V₁₇ = 57.5 - 15

V₁₇ = 42.5 V

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle  

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.

igneous rocks also form where plates converge. the subducting plate melts as it sinks into the crust of the earth, and the melt rises into the overriding plate forming volcanoes. metamorphic rocks are formed mainly in the lithosphere, wherever there is high pressure and high temperature. -woods