Two microwave signals of nearly equal wavelengths can generate a beat frequency if both are directed onto the same microwave detector. in an experiment, the beat frequency is 140 mhz . one microwave generator is set to emit microwaves with a wavelength of 1.500cm. if the second generator emits the longer wavelength, what is that wavelength?

1.5106 cm

Explanation:

The beat frequency is equal to the absolute value of the difference between the frequencies of the two signals:

using the wave equation, we can re-write each frequency as

where c is the speed of light and is the wavelength. Therefore,

where:

is the beat frequency

is the wavelength of the first generator

is the wavelength of the second generator

We also know that the second generator emits the longer wavelength, so we already know that the term inside the module is positive. Therefore, we can now solve for :

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: