The current, I, in an AC circuit can be modelled by the equation I = acos (btc) where b is the frequency and c is the phase shift. Two AC voltage sources of the same frequency are independently connected to the same circuit. If connected to the circuit alone they generate currents I and IB. The maximum value and the phase shift of each current is shown in the following table. Current IA Maximum value 12 amps 12 amps Phase shift 0 TC 2 When the two voltage sources are connected to the circuit at the same time, the total current IT can be expressed as IA + IB. (c) (i) Find the maximum value of IT. (ii) Find the phase shift of IT.
The current, I, in an AC circuit can be modelled by the equation I = acos (btc) where b is the frequency and c is the phase shift. Two AC voltage sources of the same frequency are independently connected to the same circuit. If connected to the circuit alone they generate currents I and IB. The maximum value and the phase shift of each current is shown in the following table. Current IA Maximum value 12 amps 12 amps Phase shift 0 TC 2 When the two voltage sources are connected to the circuit at the same time, the total current IT can be expressed as IA + IB. (c) (i) Find the maximum value of IT. (ii) Find the phase shift of IT.
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