The electric field in an electromagnetic wave is given as E → = 20 sin ω t - x c j → N C - 1 , where ω and c are angular frequency and velocity of electromagnetic wave respectively. The energy contained in a volume of 5 × 10 - 4 m 3 will be (Given ε 0 = 8 . 85 × 10 - 12 C 2 N - 1 m - 2 )

Step-by-step solution

Given that, E → = 20 sin ω t - x c j → N   C - 1 The average energy density of an electromagnetic wave is 1 2 ε 0 E 2 0 . The total energy stored is E total  = 1 2 ε 0 E 0 2 ×   v o l u m e ⇒ E t o t a l = 1 2 × 8 . 85 × 10 - 12 × ( 20 ) 2 × 5 × 10 - 4 = 8 . 85 × 10 - 13   J