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1 let r be the triangle with vertices 00 pi pi and pi -pi using the change of variables formula u x-y and v xy compute the double integral
1 find the are length of rt 12t2 13t3 13t3 where t is between 1 and 3 greater than or equal less than or equal2 sketch the level curves of fxy
use greens theorem to computer the integral f dr where f y2 x y2 y and c is bounded below the curve y - cosx above by y sinx to the left by x0
1 find the maxima and minima of fxyz 2x y -3z subject to the constraint 2x2y22z212 compute the work done by the force eld fxyz x2i y j y k in
trans power 20dbmchannel loss 60dbwe know thatreceived power dbm tx power dbm tx antenna gain dbi rx antenna gain dbi - loss db as tx and rx
the maximum theoretical limit of channel is governed by nyquist theorem which says bth 2 x freq in hertz x log2l where l number of level thus we
we know from shannons theoremmaximum data rate of a channel in bps b hlog2 1sn 1where h bandwidth in hzsn signal-to-noise ratiowe also know
the magnetic field b inside a solenoid having a current of 5 a is 314 x 10-2 t determine the number of turns per unit length of the
two long wires p and q carrying equivalent currents of 5 ampere and the distance among the wire is 5 cm determine the force applied on each wire
a two long wires carrying currents i1 and i2 are placed perpendicular to each other in such a way that they just avoid to contact determine the
a a charge of 3x10-4 coulomb at p 1 2 3 and a charge of -10-4 coulomb at n 2 0 5 in a vacuum we desire to measure the force exerted on second
determine the potential and field due to a short dipole of dipole moment 50 x 10-16 coulomb-cm at a point distant 1 cm from ita on its axisb on
a the potential at a particular distance form a point charge is 600 volts and the electric field is 200 nc b describe distance of the
a a positive point test charge q0 is placed at the midpoint p among the two equal positive charges q what forces acts on it at or near this
a two charges of the value 15x10-9 coulomb and 30x10-9coulomb are locate at a distance 6 cm determine the intensity of electric field at point which
a negative point charge 10-8 coulomb is located in air at the origin of a rectangular coordinate system what is the electric field intensity at a
a negative point charge of 10-6 coulomb is located in air at the origin of a rectangular coordinate system a second negative point charge of 10-4
consider a 10 cm long portion of a straight wire having a current of 10 a placed in a magnetic field of 01 t making an angle of 530 with the
an alpa particle is directed vertically upward with a speed of 3 x 104 kmsec in a region where a magnetic field of magnitude 1 tesla exists in the
three capacitors of capacitance 6microf each are available determine the minimum and maximum capacitances that could be
a how much charge should be placed on it to raise its potential to 10000 vb a parallel plate capacitor having plate area 100 cm2 and separation
a parallel plate capacitor has plates of area 200 cm2 and separation among the plates 100 mm what potential difference will be manufactured if the
a long cylindrical volume haves a uniformly distributed charge of density rho and radius r determine the electric field at a point p inside the
given that dh for the reaction is -922 kj mol-1 which is larger the total bond dissociation energy of the reactants or the total bond dissociation
a a charge q is placed at the centre of a cube determine the flux of the electric field through the six surfaces of the cubeb determine the