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creativ13 [48]
1 year ago
12

Q/C S Starting with the definition of work, prove that at every point on an equipotential surface, the surface must be perpendic

ular to the electric field there.
Physics
1 answer:
AveGali [126]1 year ago
7 0

It is proved that at every point on an equipotential surface, the surface must be perpendicular to the electric field.

<h3>What is meant by equipotential surface?</h3>
  • An equipotential surface is any surface where the potential is constant. In other words, any two points on an equipotential surface have the same potential difference.
  • Equipotential surfaces have the following important properties: 1. The work done in moving a charge across an equipotential surface is equal to zero.
  • An equipotential surface is one on which all of the points on it have the same electric potential.
  • This means that a charge has the same potential energy at all points along the equipotential surface.
  • We have to prove that at every point on an equipotential surface, the surface must be perpendicular to the electric field.

The potential between two points (A) and (B) on an equipotential surface is given by:

W AB = q ΔV = -q \int\limits^A_B E dS

By the definition  ΔV at an equipotential surface is zero.

-q \int\limits^A_B E dS = 0

\int\limits^A_B E dS = 0

\int\limits^A_B ES cos θ = 0

Therefore, cos θ <em> must be 0°</em> or 90° for a field to be non electric.

Hence, it is proved that at every point on an equipotential surface, the surface must be perpendicular to the electric field.

To learn more about equipotential surfaces, refer to:

brainly.com/question/14675095

#SPJ4

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Ann (mass 50 kg) is standing at the left end of a 15-m-long, 500 kg cart that has frictionless wheels and rolls on a frictionles
ivanzaharov [21]

Answer:

13.5 m

Explanation:

M = Mass of cart = 500 kg

m = Ann's mass = 50 kg

v_m = Velocity of Ann relative to cart = 5 m/s

v_M = Velocity of Cart relative to Ann

As the linear momentum of the system is conserved

Mv_M+mv_m=0\\\Rightarrow v_M=-\frac{mv_m}{M}\\\Rightarrow v_M=-\frac{50\times 5}{500}\\\Rightarrow v_M=-0.5\ m/s

Time taken to reach the right end by Ann

Time=\frac{Distance}{Speed}\\\Rightarrow Time=\frac{15}{5}=3\ s

Distance the cart will move in the 3 seconds

Distance=Speed\times Time\\\Rightarrow Distance=-0.5\times 3=-1.5\ m

The negative sign indicates opposite direction

Movement of Ann will be the sum of the distances

15+(-1.5)=13.5\ m

The net movement of Ann is 13.5 m

5 0
3 years ago
What is the potential energy of a 2500 g object suspended 5 m above the earth's surface?
alexandr402 [8]

Answer:

Explanation:

Potential energy, which is the energy a body assumes at a position, can be calculated using the formula:

P.E = m × g × h

Where;

m = mass (kg)

g = acceleration due to gravity (10m/s²)

h = height (m)

7 0
3 years ago
In which direction would the circle go if it was in between a positive and negative charge
evablogger [386]
It would go to the positive charge im like 99% sure of that
7 0
3 years ago
. consider the replacement of the 400 mw san juan thermoelectric power plant in puerto rico, which uses heavy fuel oil to genera
bearhunter [10]

Annual saving energy produced *cost of oil/heating value is

$ 10020.46177.

<h3>Latitude and longitude: what are they?</h3>

Latitudes are lines that are horizontal and show how far a location is from the equator. In relation to the meridian in Greenwich, England, longitudes are vertical lines that show the east and west directions. Latitude and longitude are used in conjunction to locate points or places on the globe by cartographers, geographers, and others.

Puerto Rico's capital city's latitude and longitude are 18° 27' 58.7988" North and 66° 6' 20.5956" West.

Local San Juan latitude divided by tilt angle equals 18.46 WBAN No. 11641 = for year = 5.5 provides information on solar radiation for flat plate collectors facing south with a fixed tilt.

KWh/m2/day = 5.5 KWh/m2/day (1 day =3600h)

Formula used-

Solar radiation at that place* Collector Area *Collector efficiency = Heat rate * Output

power*Capacity factor

1 KW= 3,412.14 BTU/h

Heat rate* output power* capacity factor = 10,811*400*10^3*0.53 BTU/h = 671699.2855

KW

Collector Area = 671699.2855*3600/5.5*0.17

= 25862218.48 m^2= 6390 acres

C.

Cost of oil = 290$ /10^3 kg

Energy produced= 400*10^3 KW = 1364856 *10^3 BTU/h

Heating value = 39,500 Btu/kg

Annual saving Energy produced *cost of oil/heating value

= $ 10020.46177

To know more about latitude and longitude visit:

brainly.com/question/3070484

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6 0
1 year ago
What is the diamnsanion of force
tensa zangetsu [6.8K]

Answer:

spelling ?

Explanation:

6 0
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