23. Five marks exercise problems VIII

In electrical circuit theory, a circuit \(C(t)\) is called a linear circuit if it satisfies the superposition principle given by \(C(at_1 + bt_2) = aC(t_1) + bC(t_2)\), where \(a\), \(b\) are constants. Show that the circuit \(C(t) = 3t\) is linear.