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Energy Calculations for Mutually – Coupled Coils. Energy Calculations continued. To begin, assume that currents i 1 and i 2 are equal to zero Let current i 1 increase to a value I 1 Compute the energy stored. Energy Calculations Continued. Hold i 1 constant and increase i 2 to I 2
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Energy Calculations for Mutually – Coupled Coils ECE 201 Circuit Theory 1
Energy Calculations continued • To begin, assume that currents i1 and i2 are equal to zero • Let current i1 increase to a value I1 • Compute the energy stored ECE 201 Circuit Theory 1
Energy Calculations Continued • Hold i1 constant and increase i2 to I2 • Voltage induced in L2 by I1 = 0 • Voltage induced in L1 by i2 = M12(di2/dt) ECE 201 Circuit Theory 1
Power Input to the pair of coils ECE 201 Circuit Theory 1
If the procedure were reversed When the medium is linear, M21 = M12, and the total energy stored is the same! ECE 201 Circuit Theory 1
Instantaneously This case had both currents entering a dotted terminal. If one current enters a dotted terminal and the other current leaves a dotted terminal, the sign of the Mi1i2 term reverses. ECE 201 Circuit Theory 1