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Thanks Borek now i 'm clear about Kirchoff

yes direction of current is positive in the diagram what if direction is counter-clock wise and one loop clock wise and othe one counter clock wise

Thanks Bhat i got your point, and one thing more what will be the direction current on both the loop

according to circuit In Left Loop Current is I1 and Right Loop is I2 Now Loop Left 10-8I1-3I1-I2=0 which becomes 10-8I1-3I1+3I2=0 11I1-3I2-10=0 ------------eq 1 Now Loop Right 15-6I2-3I2-I1=0 15-6I2-3I2+3I1=0 3I1-9I2+15=0 I1-3I2+5=0 ---------------eq 2 Deduct eq 2 from eq 1...

oOps this is like that yes Demorvies theorem is in mine book, i have to apply this, and is n will the power like 0,1,2...n

i was thinking that evaluation is like polar form i don't know how to resolve this, i know nothing about r^{i\theta} = x + iy please tell me what i have to do,

its polar representation is Z = r[Cos(thita) + iSin(thita)] is it is Evaluation i want to know what actually i have to do in evaluation Thanks for your help :)

Hi PFs i want to know how to evaluate the complex number, and what are the meaning of the evaluating a complex number Let Z be the complex number, Z = (3-4i)^5 what i have to do, just give me hint

this means i have to add 180 in all the condition except if it is in first

thanks Halls

hi PF 1. (2+2i) First Quadrant 2. (-2+2i) Second Quadrant 3. (-2-2i) Third Quadrant 4. (2-2i) Fourth Quadrant consider (2+1i) then Tan^-1(2/2) which will be 45 degree if we consider (-2+2i) then it will be -45 degree but angle will not -45 degree actually we get answer by adding or...

Thanks Tiny-Tim, Mark 44 and Berkman :) You really help me and i have solve this question, PF really helps me :) Again Thanks in Last

i don't know trig substitution. please just hint me what i have to do

then what i have to do i can't understand trig substitution :(

ohh i really got point i have got that i have have to substitute a^2 - x^2 with (u or any alphabet) and then i have to apply limit am i right Thanks tiny :)