mesh_analysis_problem4

mesh_analysis_problem4 - Sample problems Topic Mesh...

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Sample problems Topic: Mesh analysis Statement of problem (a) Use the mesh current method to solve for i Δ in the circuit in the figure below. + - 8mA 980 Ω 1.8 k Ω 4.7 k Ω 3.3 k Ω i Δ 200 i Δ (b) Find the power delivered by the independent current source. (c) Find the power delivered by the dependent voltage source. Solution (a) The definition of mesh currents is shown in the figure below. + - 8mA i v + Since the current in the left mesh is known already (8mA), there is only one mesh current equation, the equation for the right mesh. 3.3 ( 8 ) 1.8 200 ( 8 ) 4.7 0 ki m A k i i m A k i Ω× − + Ω× + × − + Ω× = The current in the right mesh is 2.8 im A = Therefore the unknown current is 8 5.2 i i mA mA Δ = −= The minus sign means the direction of current is opposite to the reference. (b) The power delivered by the independent current source is equal to the product of its
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