![](data:image/png;base64,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)
Tóm t t lý thuy t và gi i bài t p V t lý l p 11 bài 4: Công c a l cắ ế ả ậ ậ ớ ủ ự
I. Tóm t t ki n th c c b n: Công c a l cắ ế ứ ơ ả ủ ự
1. Công c a l c đi nủ ự ệ : Công c a l c đi n trong s di chuy n c a m t đi n tích trongủ ự ệ ự ể ủ ộ ệ
đi n tr ng đ u t M đ n N là Aệ ườ ề ừ ế MN = qEd, không ph thu c vào hình d ng đ ng điụ ộ ạ ườ
mà ch ph thu c v trí c a đi m đ u M và đi m cu i N c a đ ng đi. ỉ ụ ộ ị ủ ể ầ ể ố ủ ườ
2. Th năng c a m t di n tích đi m q t i đi m M và N trong di n tr ng l nế ủ ộ ệ ể ạ ể ệ ườ ầ
l t là: ượ
WM = AM = VM.q và WN = AN = VN.q
3. Công c a l c đi n h ng đ gi m th năng c a di n tích trongủ ự ệ ằ ộ ả ế ủ ệ đi n tr ng: ệ ườ
AMN = WM - WN
II. Gi i bài t p trang 25 SGK V t lý l p 11ả ậ ậ ớ
Câu 1. Vi t bi u th c công c a l c đi n tr ng tr ng s di chuy n c a m t đi n tíchế ể ứ ủ ự ệ ườ ọ ự ế ủ ộ ệ
trong m t đi n tr ng đ u. ộ ệ ườ ề
Tr l i:ả ờ
Công th c: AứMN = qEd.
Trong đó q là đi n tích, E là c ng đ đi n tr ng và d là kho ng cách gi a đi m đ uệ ườ ộ ệ ườ ả ừ ế ầ
M và đi m cu i N tính d c theo ph ng c a đ ng s c. ể ố ọ ươ ủ ườ ứ
Câu 2. Nêu đ c đi m c a công c a l c đi n tác d ng lên đi n tích th q khi cho q diặ ể ủ ủ ự ệ ụ ệ ử
chuyên trong đi n tr ng. ệ ườ
Tr l i:ả ờ Công c a l c đi n tác d ng lên đi n tích th q khi cho q di chuy n trong đi nủ ự ệ ụ ệ ử ể ệ
tr ng không ph thu c vào hình d ng c a đ ng đi mà ch ph thu c vào v trí c aườ ụ ộ ạ ủ ườ ỉ ụ ộ ị ủ
đi m đ u và đi m cu i c a đ ng đi. ể ầ ể ố ủ ườ
Câu 3. Th năng c a đi n tích q trong m t đi n tr ng ph thu c vào q nh th nào? ế ủ ệ ộ ệ ườ ụ ộ ư ế
Tr l i:ả ờ Th năng c a đi n tích q trong m t đi n tr ng t l thu n v i q. ể ủ ệ ộ ệ ựờ ỉ ệ ậ ớ
Câu 4. Cho m t đi n tích th q di chuy n trong m t đi n tr ng đ u d c theo hai đo nộ ệ ử ế ộ ệ ườ ề ọ ạ
th ng MN và NP và l c đi n sinh công d ng. Bi t r ng MN dài h n NP. ẳ ự ệ ươ ế ằ ơ
H i k t qu nào sau đây là đúng, khi so sánh các công Aỏ ế ả MN và ANP c a l c đi n? ủ ự ệ
A. AMN > ANP.
B. AMN < ANP.