What is the strength of the electric field at the position indicated by the dot in (figure 1)?
Correct Answer: E=kq/r^2
r= 5 x root2 = 7.07 cm or .0707 m (property of 45-45-90 right triangle)
E=(9 x 10^9)(1 x 10^-9)/(.0707)^2
= 1800.5 N/C
Now to find the x component,
cos 45 = x/1800.5
x= 1273.18 N/C
Now multiply by 2 to accommodate both charges,
E=2546.35 N/C in the direction of 0 degrees (no y component since they cancel each other out)
Table of Contents
What Is the Electric Field’s Strength?
A Power An electric field is a measured expression of the intensity of an electric field at a certain point. The normal unit is the volt per meter (V/m or Vm-1). A field strength of 1 V/m signifies a potential difference of 1 V between two sites separated by one meter. Electric field strength is also known as electric field intensity.
Any electrically charged thing produces an electric field, which exerts a force on other charged objects in the vicinity, repelling like charges and also attracting opposite directions. The source object’s field strength can measure at specific vector points within that field, and also each vector point reflects the electric force, magnitude, and direction at that point.
How To Measure Electric Field Strength
A test charge placed at one of the vector locations within the source object’s electric field requires measuring the field strength. This test charge should be positive but not interfere with the source charge. The test charge allows the electric field strength of the source charge to measure at the vector point where the charge position is.
The electric field strength at a certain vector point is proportional to the electric charge of the source item (in coulombs (C)). Furthermore, the power of the field is proportional to the distance between the source object and the test charge vector point. The field strength vs. distance curve is not an inverse square function but a linear inverse function. Electric field strength specifies linear displacement (per meter) rather than a surface area (per meter squared).
The electric field strength can represent mathematically with the following formula:
In this formula, E signifies the electric field strength, F refers to the force exerted by the source charge (in newtons), and q is the test charge (in coulombs). The value of F calculates by using the following formula:
The letter F represents power. Once again, k represents the coulomb constant, Q represents the source charge (in coulombs), q represents the test charge (in coulombs), and d is the distance between Q and q. When the letter F introduce into the original electric field strength formula.
The results are given in newtons per coulomb (N/C), equivalent to volts per meter. For instance, 500 N/C equals 500 V/m, and 1,000 N/C equals 1,000 V/m.
The intensity of an electromagnetic field’s electric field component sometimes uses to indicate its strength. Engineers and scientists do this when discussing the radio frequency field strength at a specific area from distant transmitters, celestial objects, high-tension utility lines, computer screens, or microwave ovens. As the table illustrates, the electric field strength typically provides smaller granularities in this context.
What Is The Direction Of The Electric Field At The Dot?
A positive (negative) point charge generates a radially outward (inward) pointing electric field. By definition, the direction of the electric field is such that it is identical to the force on a positive test charge.
How Do You Find The Electric Field At Point P?
The magnitude of the electric field at a point P is equal to the electric force Fe on a test charge qo divided by the test charge. For all points in Fig. 1 above, the magnitude of the electric field = (Fe)/qo = (kQqo/r2)/qo = kQ/r2 = (9 x 109 N-m2/C2)(2 x 10-6 C)/9 m2 = 2 x 103 N/C.
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