# An electric field of 11.2 N/C directed due north is superposed on an existing electric field of 16.3 N/C directed due east. What is the magnitude of the resultant field

The vector sum of the individual electric filed is  19.8 N/C

Explanation:

The principle of superposition states that every charge in space creates an electric field at point independent of the presence of other charges in that medium.

The resultant electric field is a vector sum of the electric field due to individual charges.

Let the electric field directed due north = N

Also, Let the electric field directed due east = E

then the resultant field = R

Given;

An electric field directed due north, N = 11.2 N/C

R² = N² + E²

R = √(N² + E²)

R = √(11.2² + 16.3²)

R = 19.8 N/C

Therefore, the vector sum of the individual electric filed is  19.8 N/C

## Related Questions

A parachutist descending at a speed of 14.8 m/s loses a shoe at an altitude of 55.1 m. What is the speed of the shoe just before it hits the ground? The acceleration due to gravity is 9.81 m/s 2 . Answer in units of m/s.

v = 36.05 m/s

Explanation:

It is given that,

Initial speed of the parachutist, u = 14.8 m/s

Altitude, h = 55.1 m

The acceleration due to gravity,

Let v is the speed of the shoe just before it hits the ground. The third equation of motion is given by :

v = 36.05 m/s

So, the speed of the show just before it hits the ground is 36.05 m/s. Hence, this is the required solution.

Assume the amplitude of the electric field in a plane electromagnetic wave is E1 and the amplitude of the magnetic field is B1. The source of the wave is then adjusted so that the amplitude of the electric field doubles to become 2E1. (i) What happens to the amplitude of the magnetic field in this process? It becomes four times larger. It becomes two times larger. It can stay constant. It becomes one-half as large. It becomes one-fourth as large. (ii) What happens to the intensity of the wave? It becomes four times larger. It becomes two times larger. It can stay constant. It becomes one-half as large. It becomes one-fourth as large. Need Help?

I) It becomes two times larger

II) It becomes four times larger

Explanation:

I) Electric field is directly proportional to Magnetic field and as such, if one is increased, the other is also increased by the same proportion.

The formula is given as

c = speed of light, therefore

II) Intensity of is proportional to the square of amplitude, as such

If amplitude is doubled (), intensity is

This means the intensity becomes four times bigger.

The amplitude of the magnetic field gets 2 times larger as well. The amplitudes are always directly proportional.

The intensity becomes four times as large. The intensity of any wave is always proportional to the square of its amplitude. So if the electric and magnetic field had gotten 3 times larger, the intensity would have become 9 times larger.

if the vapor's volume were to be incorrectly recorded as 125ml, how will this error affect the calculated molar mass of the unknown?

So base on your question that as if the vapors volume were to incorrectly recorded as 125ml, the effect of the error to calculate the molar mass is the same as the error in measuring the volume of the vapor. I hope you are satisfied with my answer and feel free to ask for more

A 0.90-kg ball is thrown with a speed of 9.0 m/s at an upward angle of 27 ∘.A) what is its speed at its highest point, andb)how high does it go?

Explanation:

Given

mass of ball

initial speed

launch angle

As the projectile reaches its highest point its vertical velocity component becomes zero and there will only be horizontal component

velocity at highest Point

(b)maximum height h

Maximum height is given by

Which layer of rock is exposed to only a relatively moderate amount of heat from magma?

The igneous rock i have had so many people ask me this type of stuff

Which statement about the free enterprise system is true? It allows the citizen to own government property. It exempts the citizen from taxes if that person serves the government. It allows the citizen to share political power with the rest of the population. It allows the citizen to own and operate a private business for profit. It allows the citizen to be part of a one-class system under state control.

It allows the citizen to own and operate a private business for profit.

Astronauts are trained for take-off in a high-speed centrifuge of 4.7 m radius that spins in the horizontal plane. (a) What is the average angular speed required for the astronauts to train at 3.5 g's?
(b) How fast (linear speed) are they moving at that time?
(c) What is the direction of the astronaut's apparent weight?

a)

b)

c) Towards the center of the centrifuge

Explanation:

a)

Becuse the centrifuge rotates in circular motion, there's an angular acceleration tha simulates high gravity accelerations

with r the radius and ω the amgular velocity, in or case so:

and g=9.8

solving for ω:

b) Linear speed (v) and angular speed are related by:

c) The apparent weigth is pointing towards the center of the circle, becuse angular acceleration is pointing in that direction.

Which bright object is in shadow

My best guess would be sun because it is bright but is surrounded by shadows on all sides.

A 0.25-m string, vibrating in its sixth harmonic, excites a 0.96-m pipe that is open at both ends into its second overtone resonance. The speed of sound in air is 345 m/s. The common resonant frequency of the string and the pipe is closest to Answer please with procedure

a. 630 Hz.
b. 450 Hz.
c. 700 Hz.
d. 540 Hz.
e. 360 Hz.

option D

Explanation:

given,

length of the pipe, L = 0.96 m

Speed of sound,v = 345 m/s

Resonating frequency when both the end is open

n is the Harmonic number

2nd overtone = 3rd harmonic

so, here n = 3

now,

f = 540 Hz

The common resonant frequency of the string and the pipe is closest to 540 Hz.

the correct answer is option D