document.write( "Question 300886: In Mr. Seeley's physics class, you have to find the total resistance (R) of a circuit with 2 resistors (r1 and r2 ) using the formuula R = r1r2 divided by r1 + r2. r1 and r2 are the resistance of each resistor. Resistance is measured in ohms. A circuit thtat has a total resistance of 6 ohms has a 10-ohm resistor and an unknown resistor. Find the resistance of the unknown resistor. Please explain... I don't know where to begin this problem!!! \n" ); document.write( "
Algebra.Com's Answer #215957 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! In Mr. Seeley's physics class, you have to find the total resistance (R) of a circuit with 2 resistors (r1 and r2 ) using the formula R = r1r2 divided by r1 + r2. r1 and r2 are the resistance of each resistor. Resistance is measured in ohms. A circuit that has a total resistance of 6 ohms has a 10-ohm resistor and an unknown resistor. Find the resistance of the unknown resistor. Please explain.. \n" ); document.write( ": \n" ); document.write( "Begin by writing out the formula for 2 resistors in parallel \n" ); document.write( ": \n" ); document.write( "Rt = total resistance \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "In this problem \n" ); document.write( "r1 = 10 \n" ); document.write( "r2 is unknown \n" ); document.write( "Rt = 6 \n" ); document.write( "; \n" ); document.write( "Substituting \n" ); document.write( " \n" ); document.write( "Multiply both sides by (10+r2), results \n" ); document.write( "10*r2 = 6(10 + r2) \n" ); document.write( "10*r2 = 60 + 6*r2 \n" ); document.write( ": \n" ); document.write( "Subtract 6r2 from both sides \n" ); document.write( "10*r2 - 6*r2 = 60 \n" ); document.write( "4*r2 = 60 \n" ); document.write( "; \n" ); document.write( "divide both sides by 4 \n" ); document.write( "r2 = \n" ); document.write( "r2 = 15 ohms \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the formula \n" ); document.write( "Rt = \n" ); document.write( "Rt = \n" ); document.write( "R5 = 6 \n" ); document.write( " |