What is the magnitude of the current \( i \) in the given circuit?
Kirchhoff's Current Law states that at any junction, the sum of currents entering equals the sum of currents leaving.
Using Kirchhoff’s Current Law (KCL), the sum of currents entering a junction equals the sum of currents leaving it:
\[ i = (6 \, \text{A} + 3 \, \text{A}) - (10 \, \text{A} + 3 \, \text{A}) = 4 \, \text{A}. \]The centre of the hyperbola \(16x^2 - 4y^2 + 64x - 24y - 36 = 0\) is at the point:
Two circles \(C_1\) and \(C_2\) have radii 18 and 12 units, respectively. If an arc of length \( \ell \) of \(C_1\) subtends an angle 80° at the centre, then the angle subtended by an arc of same length \( \ell \) of \(C_2\) at the centre is:
If \( 2 \) is a solution of the inequality \( \frac{x-a}{a-2x}<-3 \), then \( a \) must lie in the interval:
(b) Order of the differential equation: $ 5x^3 \frac{d^3y}{dx^3} - 3\left(\frac{dy}{dx}\right)^2 + \left(\frac{d^2y}{dx^2}\right)^4 + y = 0 $