- B E Fields Frompoint Charges 25 Pts Two Point Charges Of Differing Magnitudes Are Held Stationary In An Enormously S 1 (58.83 KiB) Viewed 30 times
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Location of Interest: (0,0) Note: All coordinates are measured and given in meters; the (very very large) charge magnitudes are given in Coulombs. Also Note: The Coulomb constant for electrostatic interaction can be very reasonably approximated by this value: K. ~ 9 x 109 Home Naye Draw a neat and clear sketch of the situation, as you understand it. Your sketch must express a clear decision as to which direction will be designated positive and which direction will be negative (5 pts).
Consider: F = GM m,,, .. 2 r for which M, and m2 refer to point MASSES measured in kilograms, F.= + K.Q1927 r? for which Q, and qz refer to point CHARGES measured in Coulombs. I I Nm K. = 8.99 x 10° C ande...= -9. 1.60 x 10 "Coulombs. NOTE: According to a tradition that doveloped FOR CONVENIENCE (but which may well right now seem incredibly INCONVENIENT)...: 4E That is K is generally written, instead. as: for which: E 8.85 x 10 Nm (413.14...)(8.85 x 10") 8.99 x 10 (so both expressione stand for the same numerical value). but for reasons that might not yet seem clear. the arrangement on the loft sido allows for the cancellation of certain terms, and thereby emphasizes certain others.
A) GIVEN THE ABOVE. Assume we have a POSITIVE POINT CHARGE of 50 Coulombs sitting at the origin of some coordinato system (in the lab). It will exort an cloctrostatic force an any and all charges that might found at any locations in space. Lot's CALL THIS the "SOURCE" of such cloctrostatic forcos. Imagine a much smaller point charge that we place at some known distance from the sourco The source will exert an electrostatic force on this smaller point chargo. Call this smallor point charge the "test chargo". DO THE NEXT five exercises in ANY ORDER you find most convenient. Solve for the cloctrostatic force exerted by the source charge onto the fost chargo if: i. The test charge is + 3 Coulombs and is 5 meters away from the source charge. ii. The test charge is - 6 Coulombs and is 5 meters away from the source charge. ii. The test charge is +5 Coulombs and is 5 meters away.... iv. The test charge is +1 Coulombs and is 5 meters away... v. The test charge is - 2 Coulombs and is 5 meters away... So. lot Ë E III 92 Electrostatic FORCE per CHARGE = [Nowtons/Coulomb] +17€. Qid 4πει τ' ܕ9 Ē. = The Electrostatic FIELD: A charge (the source charge) exerts an electrostatic force onto ANOTHER chargo (tho fost charge). A chargo (the source charge) oxerts an ELECTROSTATIC FIELD onto a POINT in SPACE. Then the FIELD exorts a force on any charge located at that point (the test charge).
THUS. The ELECTROSTATIC FIELD is: the amount of FORCE that aknown SOURCE charge WOULD(or will) exert at a known distance from a test charge always defined to be I Coulomb of charge. B) E-FIELDS FROMPOINTCHARGES (25 PTS). Two point-charges of differing magnitudes are held stationary in an enormously spacious x-y plane. NORTH 20 WEST EAST (4) SOUTH The strengths and locations of the charges are organized into a table, below. A researcher places an instrument called a 'field detector' at the point (0,0). The detector is designed to measure electrostatic field magnitudes and directions. Name Charge x-Coordinate y-Coordinate Ordered Pair Q1 5 5 4 (5,0) Q2 -2 10 3 (10,0)
Location of Interest: (0,0) Note: All coordinates are measured and given in meters; the (very very large) charge magnitudes are given in Coulombs. Also Note: The Coulomb constant for electrostatic interaction can be very reasonably approximated by this value: K. ~ 9 x 109 Her er Noye? Draw a neat and clear sketch of the situation, as you understand it. Your sketch must express a clear decision as to which direction will be designated positive and which direction will be negative (5 pts).