document.write( "Question 193254This question is from textbook Basic Technical Mathematics
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document.write( ": I am totally confused with this word problem about exectric current i in a circuit containing a resistance R and an inductance L given by ln i/I=Rt/L. t is the time (in seconds) and I is the current at t=0. Calculate in seconds it take the current to reach 0.600 of the initial value if I=0.584A, R=7.44 olms and L=1.41H.
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document.write( "Please help! \n" );
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Algebra.Com's Answer #145102 by ejazali_syed(7)![]() ![]() ![]() You can put this solution on YOUR website! ln i/I=Rt/L\r \n" ); document.write( "\n" ); document.write( "FIrst of all i didnt get this point (the current to reach 0.600 of the initial value, but still im considering it to be 0.6 of initial value)\r \n" ); document.write( "\n" ); document.write( "Calculate in seconds it take the current to reach 0.600 of the initial value if I=0.584A, R=7.44 ohms and L=1.41H.\r \n" ); document.write( "\n" ); document.write( "ANS) i here is the current. \n" ); document.write( "I is the current at time t= 0. \n" ); document.write( "we need to calculate the time in \"seconds\" \n" ); document.write( " when???? \n" ); document.write( " when current reaches 0.600 i.e. i = 0.6 of the initial value. \n" ); document.write( " \n" ); document.write( " what is the initial value given I = 0.584A\r \n" ); document.write( "\n" ); document.write( " hence i = 0.6 of I = 0.6*0.584 = 0.3054A\r \n" ); document.write( "\n" ); document.write( "therefore\r \n" ); document.write( "\n" ); document.write( "ln(i/I) = R*t/L ==> ln(0.6*I/I) = 7.44*t/1.41 \r \n" ); document.write( "\n" ); document.write( " ==> ln(0.6)* 0.1895 = t (in seconds) \n" ); document.write( " |