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Консультация № 159475
03.02.2009, 11:42
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На расстоянии 6см друг от друга находятся два точечных заряда +0,8мкКл и -0,4мкКл. Найти напряжённость и потенциал поля в точке, отстоящей от положительного заряда на расстояние 5см и от отрицательного заряда на расстояние 4см.
Я решил все задачи из контрольной , кроме этой . Помогите , пожайлуста , уважаемые эксперты .
Я решил все задачи из контрольной , кроме этой . Помогите , пожайлуста , уважаемые эксперты .
Обсуждение
Неизвестный
03.02.2009, 15:31
общий
03.02.2009, 18:19
это ответ
Здравствуйте, Пипкин Вася!
____________________
По-моему так:
На расстоянии
L0= 6см друг от друга находятся два точечных заряда
q1= +0,8мкКл и
q2= -0,4мкКл.
Найти напряжённость и потенциал поля в точке, отстоящей
от положительного заряда на расстояние
L1= 5см
и от отрицательного заряда на расстояние
L2= 4см.
e0= 8.854e-12 (Ф/м), электрическая постоянная
____
(Для этой задачки неплохо бы нарисовать рисунок.)
Угол 'b' между направлениями из заданной точки на заряды
L0^2= L1^2+L2^2-2*L1*L2*cos(b)
cos(b)= (L1^2+L2^2-L0^2)/(2*L1*L2)= (5^2+4^2-6^2)/(2*5*4)= 0,125
b= arccos(0.125)= 1,445 (рад)
E1= q1/(4*pi*e0*L1^2)= 0.8e-6/(4*pi*8.854e-12*5e-2^2)= 2,8761E6 (В/м)
E2= q2/(4*pi*e0*L2^2)= -0.4e-6/(4*pi*8.854e-12*4e-2^2)= -2,2469E6 (В/м)
Результирующая напряженность
E^2= E1^2+E2^2-2*E1*E2*cos(pi-b)
E= sqrt(2,8761E6^2+(-2,2469E6)^2-2*2,8761E6*(-2,2469E6)*cos(pi-1,445))=
= 3,42E6 (В/м)= 3.42 (МВ/м)
________________
Потенциал
ф= ((q1/L1)+(q2/L2))/(4*pi*e0)= ((0.8e-6/5e-2)+(-0.4e-6/4e-2))/(4*pi*8.854e-12)=
= 5,39E4 (В)= 53.9 (кВ)
____________________
По-моему так:
На расстоянии
L0= 6см друг от друга находятся два точечных заряда
q1= +0,8мкКл и
q2= -0,4мкКл.
Найти напряжённость и потенциал поля в точке, отстоящей
от положительного заряда на расстояние
L1= 5см
и от отрицательного заряда на расстояние
L2= 4см.
e0= 8.854e-12 (Ф/м), электрическая постоянная
____
(Для этой задачки неплохо бы нарисовать рисунок.)
Угол 'b' между направлениями из заданной точки на заряды
L0^2= L1^2+L2^2-2*L1*L2*cos(b)
cos(b)= (L1^2+L2^2-L0^2)/(2*L1*L2)= (5^2+4^2-6^2)/(2*5*4)= 0,125
b= arccos(0.125)= 1,445 (рад)
E1= q1/(4*pi*e0*L1^2)= 0.8e-6/(4*pi*8.854e-12*5e-2^2)= 2,8761E6 (В/м)
E2= q2/(4*pi*e0*L2^2)= -0.4e-6/(4*pi*8.854e-12*4e-2^2)= -2,2469E6 (В/м)
Результирующая напряженность
E^2= E1^2+E2^2-2*E1*E2*cos(pi-b)
E= sqrt(2,8761E6^2+(-2,2469E6)^2-2*2,8761E6*(-2,2469E6)*cos(pi-1,445))=
= 3,42E6 (В/м)= 3.42 (МВ/м)
________________
Потенциал
ф= ((q1/L1)+(q2/L2))/(4*pi*e0)= ((0.8e-6/5e-2)+(-0.4e-6/4e-2))/(4*pi*8.854e-12)=
= 5,39E4 (В)= 53.9 (кВ)
Форма ответа
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