### Electromagnetic Induction with a Rectangular Loop and a Straight Wire**Introduction:**A loop of wire in the shape of a rectangle with width \( w \) and length \( L \), and a long, straight wire carrying a current \( I \) lie on a tabletop as shown in the figure below.**Figure Details:**- A long, straight, horizontal wire carries current \( I \) toward the right.- A rectangular loop of wire, with length \( L \) and height \( w \), lies below the straight wire.- The length \( L \) is parallel to the straight wire, and the top edge of the loop is a distance \( h \) below the straight wire.![Figure Description](attachment)A long, straight, horizontal wire carries current \( I \) toward the right. A rectangular loop of wire, with length \( L \) and height \( w \), lies below the straight wire. The length is parallel to the straight wire, and the top edge of the loop is a distance \( h \) below the straight wire.**Questions:**### (a) Magnetic Flux CalculationDetermine the magnetic flux through the loop due to the current \( I \). (Use any variable stated above along with the following as necessary: \( \mu_0 \)).\[ \Phi_B = \text{______} \]### (b) Electromotive Force (emf) CalculationSuppose the current is changing with time according to \( I = a + bt \), where \( a \) and \( b \) are constants. Determine the magnitude of the emf (in V) that is induced in the loop if \( b = 20.0 \, \text{A/s} \), \( h = 1.00 \, \text{cm} \), \( w = 20.0 \, \text{cm} \), and \( L = 1.15 \, \text{m} \).\[ \text{emf} = \text{______} \, \text{V} \]### (c) Direction of the Induced CurrentWhat is the direction of the induced current in the rectangle?- [ ] clockwise- [ ] counterclockwise- [ ] The magnitude is zero.

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