Step 1:

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A DC generator has emf of 60 V.

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Internal resistance of the DC generator is 0.4 \"\".

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A battery has emf of 50 V.

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Internal resistance of the battery is 0.3 \"\".

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DC generator and battery are connected in parallel to the load of 10.6 \"\".

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Draw a circuit with above specifications.

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\"\"

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Step 2:

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Find the current through generator :

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Redraw the circuit with current directions and nodes.

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\"\"

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Apply Junction rule at node b.

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\"\"

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Apply KVL to a loop abeda.

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\"\"

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Apply KVL to a loop bcfeb.

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 \"\"

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Substitute equation (1) in equation (2) and (3).

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\"\"

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\"\"

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Solve the equations (4) and (5).

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Add the equations (4) and (5).

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\"\"

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Substitute \"\" in equation (4).

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\"\"

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Substitute \"\"in \"\".

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\"\"

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So the value of current through the generator is 17.2043 A.

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The direction of the current is toward the node b.

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Step 3:

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(b)

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The value of current through the battery is \"\".

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\"\"

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So the value of current through the battery is 12.968  A.

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The direction of the current is toward the node c.  (In opposite direction with respect to generator)

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Step 4:

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Find the terminal voltage across the load.

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The current across the load is \"\".

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Use ohms law : \"\".

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Where i is current through load,

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           R is resistance offered by load.

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\"\"

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The voltage across the load is 54.1395 V.

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Solution:

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(a)

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The value of current through the generator is 17.2043 A.

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The direction of the current is toward the node b.

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(b)

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The value of current through the battery is 12.968  A.

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The direction of the current is toward the node c.

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(c)

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The voltage across the load is 54.1395 V.

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